If I were to become a crypto whale, how would I sell all those coins for profit without moving the price down?

Let’s imagine that I were to invest in crypto. And let’s further imagine that my small investment grew to such a large degree that it exceeded the monthly withdrawal limits on the big exchanges.How would I sell all of that when I decided to take profit? Unless I were ok with selling far below the market value, it would take months to exchange it all back for fiat.Would I just be stuck as a holder?