The Hoops welcome MK Dons to Loftus Road in the fourth round today, but the 65-year-old said that his main focus remains on keeping the club in the top flight.
However, Redknapp still insists that he wants to go as far as he possibly can in the world's oldest cup competition.
"It's fair to say that progressing in the FA Cup is not at the top of my list of priorities right now," Redknapp wrote in his program notes. "But that doesn't mean I don't want to progress - far from it.
"It was a great result to go to West Brom in the last round and win there. We want to keep that going. We're still in the cup and we're in it to try and win it."
Redknapp said that he watched last season's FA Cup third-round meeting between the two sides, which QPR won 1-0.
He declared himself impressed by the League One outfit and praised the job that Karl Robinson has done since taking over in May 2010.
"MK Dons are a good side," he added. "I remember they came to QPR last year in this competition and they played ever so well. I saw the game and thought they were unlucky to lose, to be honest.
"Karl Robinson has done an excellent job there and it will be nice to see one or two old faces today, with Ian Wright and Mick Harford part of his backroom team. They are real footballing lads and it will be good to see them."
QPR beat West Bromwich Albion for their place in the fourth round, while MK Dons overcame Sheffield Wednesday.