The 48-year-old admits his worldwide fame stops him from being able to do a lot of normal things with his two kids, daughter Lily-Rose, 12, and son Jack, nine.
However Depp who lives in France with his children and their mother Vanessa Paradis wants to enjoy a day by being anonymous.
"I'd walk through Disneyland with my kids. That's what I'd do. I'd go on every ride and let them experience that. When daddy normally walks through Disneyland with them, things get weird," contactmusic.com quoted Depp as saying.