Most reviews of the song upon its release were negative. As a guest critic for
Smash Hits magazine, singer and
Parade cover model
Samantha Fox opined that it was not very good. Stuart Bailie of
Record Mirror described it as "crummy", explaining, "There's a mid-tempo ordinariness about the whole thing, with
Steve Norman playing that same old sax solo and a very indifferent vocal from Tony Hadley."
Roy Wilkinson of
Sounds summed up the song as "absurdly paranoiac".
Number One's Andrew Panos, however, called "Fight" a "knockout". He thought its chorus was reminiscent of "
Chant No. 1 (I Don't Need This Pressure On)" and liked Kemp's "funky guitar picking", Norman's "sexy sax work" and Hadley's "restrained" vocals. In a retrospective review of the
Through the Barricades album, Dan LeRoy of
AllMusic wrote, "Most of the tunes demand guitar and drum bombast; instead, the riff-rocking 'Cross the Line' and 'Fight for Ourselves', in particular, are undercut by the polite-sounding rhythm section." ==Music video==