What did you do with your iPhone before , there are 2 reasons why the iPhone was stuck on connect to iTunes scree .
One of them is Jailbreaking program, you were running the Jailbreaking program on your iPhone, but you failed ,
Another of them is Update program .
i was going to update my iPhone to the latest version and i failed , the result was that i can not access my iPhone, there was nothing that i can do with my iPhone, it was stuck on connect to iTunes screen.
I came up with the following solution :
1:Trying to reboot your iPhone (Simultaneously Press and hold Sleep/ wake and Home buttons)
2:Use third-party software to fix iPhone stuck on connect to iTunes screen (That's what i did before)