diff --git a/src/Analyzer/Passes/QueryAnalysisPass.cpp b/src/Analyzer/Passes/QueryAnalysisPass.cpp
index 163092f1b7f..da8933aabaa 100644
--- a/src/Analyzer/Passes/QueryAnalysisPass.cpp
+++ b/src/Analyzer/Passes/QueryAnalysisPass.cpp
@@ -116,7 +116,6 @@ namespace ErrorCodes
     extern const int UNKNOWN_TABLE;
     extern const int ILLEGAL_COLUMN;
     extern const int NUMBER_OF_COLUMNS_DOESNT_MATCH;
-    extern const int FUNCTION_CANNOT_HAVE_PARAMETERS;
 }
 
 /** Query analyzer implementation overview. Please check documentation in QueryAnalysisPass.h first.
@@ -4897,11 +4896,6 @@ ProjectionNames QueryAnalyzer::resolveFunction(QueryTreeNodePtr & node, Identifi
                     lambda_expression_untyped->formatASTForErrorMessage(),
                     scope.scope_node->formatASTForErrorMessage());
 
-            if (!parameters.empty())
-            {
-                throw Exception(ErrorCodes::FUNCTION_CANNOT_HAVE_PARAMETERS, "Function {} is not parametric", function_node.formatASTForErrorMessage());
-            }
-
             auto lambda_expression_clone = lambda_expression_untyped->clone();
 
             IdentifierResolveScope lambda_scope(lambda_expression_clone, &scope /*parent_scope*/);
@@ -5018,12 +5012,9 @@ ProjectionNames QueryAnalyzer::resolveFunction(QueryTreeNodePtr & node, Identifi
     }
 
     FunctionOverloadResolverPtr function = UserDefinedExecutableFunctionFactory::instance().tryGet(function_name, scope.context, parameters);
-    bool is_executable_udf = false;
 
     if (!function)
         function = FunctionFactory::instance().tryGet(function_name, scope.context);
-    else
-        is_executable_udf = true;
 
     if (!function)
     {
@@ -5074,12 +5065,6 @@ ProjectionNames QueryAnalyzer::resolveFunction(QueryTreeNodePtr & node, Identifi
         return result_projection_names;
     }
 
-    /// Executable UDFs may have parameters. They are checked in UserDefinedExecutableFunctionFactory.
-    if (!parameters.empty() && !is_executable_udf)
-    {
-        throw Exception(ErrorCodes::FUNCTION_CANNOT_HAVE_PARAMETERS, "Function {} is not parametric", function_name);
-    }
-
     /** For lambda arguments we need to initialize lambda argument types DataTypeFunction using `getLambdaArgumentTypes` function.
       * Then each lambda arguments are initialized with columns, where column source is lambda.
       * This information is important for later steps of query processing.
diff --git a/src/Functions/UserDefined/UserDefinedSQLFunctionVisitor.cpp b/src/Functions/UserDefined/UserDefinedSQLFunctionVisitor.cpp
index 597e4efe35e..360d1cdf76c 100644
--- a/src/Functions/UserDefined/UserDefinedSQLFunctionVisitor.cpp
+++ b/src/Functions/UserDefined/UserDefinedSQLFunctionVisitor.cpp
@@ -20,7 +20,6 @@ namespace DB
 namespace ErrorCodes
 {
     extern const int UNSUPPORTED_METHOD;
-    extern const int FUNCTION_CANNOT_HAVE_PARAMETERS;
 }
 
 void UserDefinedSQLFunctionVisitor::visit(ASTPtr & ast)
@@ -139,12 +138,6 @@ ASTPtr UserDefinedSQLFunctionVisitor::tryToReplaceFunction(const ASTFunction & f
     if (!user_defined_function)
         return nullptr;
 
-    /// All UDFs are not parametric for now.
-    if (function.parameters)
-    {
-        throw Exception(ErrorCodes::FUNCTION_CANNOT_HAVE_PARAMETERS, "Function {} is not parametric", function.name);
-    }
-
     const auto & function_arguments_list = function.children.at(0)->as<ASTExpressionList>();
     auto & function_arguments = function_arguments_list->children;
 
diff --git a/src/Interpreters/ActionsVisitor.cpp b/src/Interpreters/ActionsVisitor.cpp
index 10502b7e66d..01f2d4cf22e 100644
--- a/src/Interpreters/ActionsVisitor.cpp
+++ b/src/Interpreters/ActionsVisitor.cpp
@@ -78,7 +78,6 @@ namespace ErrorCodes
     extern const int LOGICAL_ERROR;
     extern const int TOO_FEW_ARGUMENTS_FOR_FUNCTION;
     extern const int TOO_MANY_ARGUMENTS_FOR_FUNCTION;
-    extern const int FUNCTION_CANNOT_HAVE_PARAMETERS;
 }
 
 static NamesAndTypesList::iterator findColumn(const String & name, NamesAndTypesList & cols)
@@ -1106,12 +1105,6 @@ void ActionsMatcher::visit(const ASTFunction & node, const ASTPtr & ast, Data &
         }
     }
 
-    /// Normal functions are not parametric for now.
-    if (node.parameters)
-    {
-        throw Exception(ErrorCodes::FUNCTION_CANNOT_HAVE_PARAMETERS, "Function {} is not parametric", node.name);
-    }
-
     Names argument_names;
     DataTypes argument_types;
     bool arguments_present = true;
diff --git a/tests/analyzer_tech_debt.txt b/tests/analyzer_tech_debt.txt
index f7cc13dd2e2..f838a19940a 100644
--- a/tests/analyzer_tech_debt.txt
+++ b/tests/analyzer_tech_debt.txt
@@ -111,6 +111,7 @@
 00917_multiple_joins_denny_crane
 00725_join_on_bug_1
 00636_partition_key_parts_pruning
+00261_storage_aliases_and_array_join
 01825_type_json_multiple_files
 01281_group_by_limit_memory_tracking
 02723_zookeeper_name
diff --git a/tests/queries/0_stateless/02701_non_parametric_function.reference b/tests/queries/0_stateless/02701_non_parametric_function.reference
deleted file mode 100644
index e69de29bb2d..00000000000
diff --git a/tests/queries/0_stateless/02701_non_parametric_function.sql b/tests/queries/0_stateless/02701_non_parametric_function.sql
deleted file mode 100644
index 5261fa7b082..00000000000
--- a/tests/queries/0_stateless/02701_non_parametric_function.sql
+++ /dev/null
@@ -1,9 +0,0 @@
--- Tags: no-parallel
-
-SELECT * FROM system.numbers WHERE number > toUInt64(10)(number) LIMIT 10; -- { serverError 309 }
-
-CREATE FUNCTION IF NOT EXISTS sum_udf as (x, y) -> (x + y);
-
-SELECT sum_udf(1)(1, 2); -- { serverError 309 }
-
-DROP FUNCTION IF EXISTS sum_udf;