The 26-year-old Frenchman agreed a four-and-a-half-year deal with the R's on Wednesday, after manager Harry Redknapp secured the striker for a club record fee.
Speaking to the club's official website, Remy revealed a four-hour talk with Fernandes regarding his future ended in a game of FIFA 12, sealing the deal at Loftus Road.
"It was a special moment that followed our chat about QPR," Remy said.
"We just played a game of FIFA - it was good and showed to me what a good person Tony is.
"He showed his human side to me as an owner of the club I wanted to join. It was a special moment for us both."
R's CEO Philip Beard added: "They had great fun, but Tony told me he let him win!
"But in all seriousness, it was a great way for them to get to know each other better.
"Loic was Harry's number one target and we're delighted we've been able to pull this deal off.
"There was a lot of interest in him from other clubs, because he is one of the hottest properties in Europe, so the fact we've managed to sign him is incredible."
Beard added: "This move isn't motivated by money.
"Loic has a passion and desire to achieve in his career and similar to (Julio) Cesar, he wanted to be part of our project.
"We know we haven't achieved our goals so far this season, but he wanted to come in and help us build for the future.
"Tony is remarkable, he never gives up - that is his style - and he is as delighted as anyone that we've got this deal done."