The Anfield club was also keen on temporarily re-signing its former youth product, but the 22-year-old's father believes a move to a lower-placed Premier League side will be better for his son's development.
"Liverpool were in but I don't think Thomas is ready to go to Liverpool yet," Ince senior told talkSPORT. "Brendan [Rodgers] has done very well there and he does play the kids but for his progression as a footballer it needed to be a Stoke, a Swansea, a Palace or a Hull City at this point.
"Maybe in two or three years' time that might be a move for him."
Crystal Palace sits 17th in the Premier League table, a point above West Ham, with Ince in line to make his debut against West Brom at Selhurst Park on Feb. 8.