Production of jets in association with a Z/γ∗ boson in proton--proton collisions at √s=7 TeV with the ATLAS detector. The analysis includes the full 2010 data set, collected with a low rate of multiple proton--proton collisions in the accelerator, corresponding to an integrated luminosity of 36 pb−1. Inclusive jet cross sections in Z/γ∗ events, with Z/γ∗ decaying into electron or muon pairs, are measured for jets with transverse momentum pT>30 GeV and jet rapidity |y|<4.4.