Therefore I tell you, whatever you ask for in prayer, believe that you have received it, and it will be yours. – Mark 11:24
Can God answer your prayer? Of course. He is capable of anything, He is the creator of the universe. Now that we have established that whatever you pray for can be answered, we can ask, ‘will God answer your prayer?’
The verse tells us yes. A definite yes. There is no disclaimer here or hidden clause. There is only one condition, and that is that we believe. If we know that God can answer our prayer, and we know that God will answer our prayer — that is belief. In fact, God says we can be so confident we can ask as if we have already received it! Is our confidence in our own faith? No, our confidence is in God. He can do all things, and He is who we are asking.