How can I get a private key for my ETH address that is on BTC's stock exchange with you at btc?

Hello, i have one question. At pool ethermine.org I have about 5 ETHs that I mined at address which is with you on BTC. If I now switch all of the pool to at my address at btc-e, will I have these funds available when the funds go back or the stock market starts to work?