The 29-year-old England international joined the Cottagers on loan from Aston Villa in August despite strong interest in him from Eagles boss Ian Holloway.
Holloway was left frustrated by Bent's decision, but the player insists he could not turn down the chance to move to Craven Cottage.
"There was a lot of talk [about Palace]," Bent said. "I spoke to Ian Holloway but I always knew Fulham was the place for me.
"I am here now and I am delighted to be here.
"No disrespect to Crystal Palace or Ian Holloway, it is a fantastic football club and he is a fantastic manager. I could only ever see myself coming to Fulham."
Sunderland, who Bent left to join Aston Villa in January 2011, were also interested in his services, although it was a move that he did not feel comfortable with.
"It was a flitter but it wasn't anything major," he said.
"When I was up there now, everything has changed from the chairman, to the manager, to the backroom staff.
"It is a completely different club. There were flitters but my only destination was Fulham."