C# How to move player on a rotating object

so, I have a basic movement script, slightly modified to have my char fly, and I want to have him on an object, but I want him to rotate with that object as well as move. I tried rotating the object, but my char would stop moving or falling the right way. I tried .move as well as .simplemove

using UnityEngine; using

public class Moveing : MonoBehaviour {
public static float flying; public
static float grounded; public float
speed = 6.0F;
public float jumpSpeed = 8.0F; public float gravity = 20.0f; public
Vector3 moveDirection = Vector3.zero;
public float rotateSpeed = 3.0F;
// Use this for initialization void
Start () {

   	// Update is called once per frame 	void Update () {

   	  transform.Rotate(0, Input.GetAxis("Mouse X") *

rotateSpeed, 0);
CharacterController controller = GetComponent();

        moveDirection = new Vector3(Input.GetAxis("Horizontal") *

speed, moveDirection.y,
Input.GetAxis(“Vertical”) * speed);
moveDirection = transform.TransformDirection(moveDirection);

        if (Input.GetButton("Jump")){
            moveDirection.y = jumpSpeed;}
   		if ( moveDirection.y > gravity * -1){
    moveDirection.y -= gravity * Time.deltaTime; 		}
    controller.Move(moveDirection * Time.deltaTime);
   	} }

Try to use Character Motor script from standard assets codes, you have there an option named: Moving Platforms then you can set gravitation to zero and control up/down via script.