The rook and hit polynomials are the central objects in rook theory. In Garsia & Remmel (1984), they defined q-versions of rook and hit polynomials and generalized some identities in ordinary rook theory.
Using the technique of interlacing polynomials, we will prove that q-hit polynomials of Ferrers boards have only real roots for any fixed q > 0. This generalizes a previous result by Haglund, Ono and Wagner, which is the q = 1 case.