The Dutchman was set for a switch to Craven Cottage, and he said that he is disappointed not to have left Roma during the January transfer window.
The Netherlands international has found playing time limited at Roma this season and was London-bound when his club cancelled the deal.
“I really wanted to join Fulham. I would have been guaranteed playing time," Stekelenburg told Sport Promotion NL. “I’m really disappointed that the transfer didn't take place. I hoped that this situation would have ended differently.
“It’s a big blow that will take me a little time to get over, but I’m a professional and my objective is to become the first choice at Roma again.
Stekelenburg joined Roma in 2011 after nine years with Ajax, where he played for current Fulham manager Martin Jol. He has taken a back seat at Roma to Uruguayan Mauro Goicoechea.
“I can’t really blame anyone for this though. Roma, from the start, told me that they would have only sold me should they get an adequate replacement," Stekelenburg said. “The fact that the deal wasn't done doesn't mean that it won’t happen any more. We’ll see what the situation is like in the summer.”