Bamford has represented Ireland at under-18 level internationally, qualifying through the grandparent rule, although he has lined out for England at more recent underage levels.
"He couldn't get a starting place because we kept winning, and he wants game time", said Pardew, who may enquire about detting another Chelsea striker, Loic Remy, on loan.
Cabaye will be absent from the visit of Guus Hiddink's men after picking up his fifth booking of the season in the draw with Swansea, but believes the game is crucial to Palace's season.
Bamford, 22, featured just nine times for Palace - seven times in the league - but only started twice, with both starts coming in cup competitions, leaving the striker frustrated at a lack of playing time and a lack of goals.
Their win at Stoke City a couple of weeks ago was their 11th win in 16 away Premier League matches, and they are only behind Arsenal in away points this calendar year; it really is some achievement from the SE25 club.
The move means Bamford is set to return to Chelsea, but the two clubs are yet to converse on Bamford's future and Guus Hiddink has told reporters the striker is not in his first team plans.
"I hope he becomes a top player because he has some really nice attributes as a person and if he becomes a great player, then great".
"I wish Patrick all the best".
Pardew said: 'Patrick made a slight error after the game. "The thing is, we have to play with confidence". Last term, fans at Selhurst Park only watched their team win six out of 19 home league games and saw 10 home defeats, the most of any team in the Premier League.