For class component we can use
this._reactInternalFiber._debugOwner.type.name 
as mentioned in React Access parent component name.
But is there any way to do same in function component?
For class component we can use
this._reactInternalFiber._debugOwner.type.name 
as mentioned in React Access parent component name.
But is there any way to do same in function component?
 
    
     
    
    Based on this answer you can make a custom hook to display the parent's name:
import { useEffect, useRef, useState } from "react";
function FindReact(dom, traverseUp = 0) {
  const key = Object.keys(dom).find((key) => {
    return (
      key.startsWith("__reactFiber$") || // react 17+
      key.startsWith("__reactInternalInstance$")
    ); // react <17
  });
  const domFiber = dom[key];
  if (domFiber == null) return null;
  // react <16
  if (domFiber._currentElement) {
    let compFiber = domFiber._currentElement._owner;
    for (let i = 0; i < traverseUp; i++) {
      compFiber = compFiber._currentElement._owner;
    }
    return compFiber._instance;
  }
  // react 16+
  const GetCompFiber = (fiber) => {
    //return fiber._debugOwner; // this also works, but is __DEV__ only
    let parentFiber = fiber.return;
    while (typeof parentFiber.type == "string") {
      parentFiber = parentFiber.return;
    }
    return parentFiber;
  };
  let compFiber = GetCompFiber(domFiber);
  for (let i = 0; i < traverseUp; i++) {
    compFiber = GetCompFiber(compFiber);
  }
  return compFiber;
}
const useParentName = () => {
  const ref = useRef();
  const [parentName, setParentName] = useState();
  useEffect(() => {
    if (ref.current) {
      let node = FindReact(ref.current, 1);
      setParentName(node.type.name);
    }
  }, []);
  return { ref, parentName };
};
const Child = () => {
  const { ref, parentName } = useParentName();
  return (
    <div ref={ref}>
      <div>{parentName}</div>
    </div>
  );
};
export default function App() {
  return (
    <div className="App">
      <Child />
    </div>
  );
}
But you will need to use ref inside the child component to display the parent's name
