diff --git a/packages/eslint-plugin/src/rules/no-extra-parens.ts b/packages/eslint-plugin/src/rules/no-extra-parens.ts
index e3ab2395279..653d2fa74d1 100644
--- a/packages/eslint-plugin/src/rules/no-extra-parens.ts
+++ b/packages/eslint-plugin/src/rules/no-extra-parens.ts
@@ -62,11 +62,32 @@ export default util.createRule<Options, MessageIds>({
 
       return rule(node);
     }
+
     function callExp(
       node: TSESTree.CallExpression | TSESTree.NewExpression,
     ): void {
       const rule = rules.CallExpression as (n: typeof node) => void;
 
+      // ESLint core cannot check parens well when there is function type in type parameters with only one argument.
+      // e.g. foo<() => void>(a);
+      if (
+        node.typeParameters?.params.some(util.isTSFunctionType) &&
+        node.arguments.length === 1
+      ) {
+        const sourceCode = context.getSourceCode();
+        const tokenAfterTypeParam = sourceCode.getTokenAfter(
+          node.typeParameters,
+        );
+        const tokenBeforeArg = sourceCode.getTokenBefore(node.arguments[0]);
+
+        if (tokenAfterTypeParam === tokenBeforeArg) {
+          return rule({
+            ...node,
+            arguments: [],
+          });
+        }
+      }
+
       if (util.isTypeAssertion(node.callee)) {
         // reduces the precedence of the node so the rule thinks it needs to be wrapped
         return rule({
diff --git a/packages/eslint-plugin/tests/rules/no-extra-parens.test.ts b/packages/eslint-plugin/tests/rules/no-extra-parens.test.ts
index 29afab88ec5..4b47df5deda 100644
--- a/packages/eslint-plugin/tests/rules/no-extra-parens.test.ts
+++ b/packages/eslint-plugin/tests/rules/no-extra-parens.test.ts
@@ -14,6 +14,17 @@ ruleTester.run('no-extra-parens', rule, {
   valid: [
     ...batchedSingleLineTests({
       code: `
+foo<() => void>(a);
+foo<() => void>(a = b);
+foo<() => void>(a, b);
+foo<() => void>((a, b));
+foo<() => () => void>(a);
+foo<() => void>(()=> undefined);
+foo<T, () => void>(a);
+    `,
+    }),
+    ...batchedSingleLineTests({
+      code: `
 (0).toString();
 (function(){}) ? a() : b();
 (/^a$/).test(x);
@@ -52,6 +63,10 @@ for (;(a = b););
       code: `b => (b = 1);`,
       options: ['all', { returnAssign: false }],
     },
+    {
+      code: `foo<() => void>(b => (b = 1));`,
+      options: ['all', { returnAssign: false }],
+    },
     {
       code: `b => b ? (c = d) : (c = e);`,
       options: ['all', { returnAssign: false }],
@@ -61,6 +76,7 @@ for (;(a = b););
 x = a || (b && c);
 x = a + (b * c);
 x = (a * b) / c;
+foo<() => void>(x = (a * b) / c);
       `,
       options: ['all', { nestedBinaryExpressions: false }],
     }),
@@ -222,6 +238,60 @@ switch (foo) { case 1: case (<2>2): break; default: break; }
   invalid: [
     ...batchedSingleLineTests({
       code: `
+foo<() => void>((a));
+foo<() => void>((a = b));
+foo<() => void>((a), b);
+foo<() => () => void>((a));
+foo<() => void>((()=> undefined));
+foo<T, () => void>((a));
+foo<T, () => void>((a),);
+foo<T, () => void>(((a)));
+      `,
+      errors: [
+        {
+          messageId: 'unexpected',
+          line: 2,
+          column: 17,
+        },
+        {
+          messageId: 'unexpected',
+          line: 3,
+          column: 17,
+        },
+        {
+          messageId: 'unexpected',
+          line: 4,
+          column: 17,
+        },
+        {
+          messageId: 'unexpected',
+          line: 5,
+          column: 23,
+        },
+        {
+          messageId: 'unexpected',
+          line: 6,
+          column: 17,
+        },
+        {
+          messageId: 'unexpected',
+          line: 7,
+          column: 20,
+        },
+        {
+          messageId: 'unexpected',
+          line: 8,
+          column: 20,
+        },
+        {
+          messageId: 'unexpected',
+          line: 9,
+          column: 21,
+        },
+      ],
+    }),
+    ...batchedSingleLineTests({
+      code: `
 a = (b * c);
 (a * b) + c;
 for (a in (b, c));