Salut doesn't seem to have made it into most English dictionaries so far. But it is in the COD, as you say, MK, and in some of the other Oxford dictionaries.
One of the examples given by the OED is from
Beautiful Losers, a 1966 novel by Leonard Cohen. (Apparently Leonard Cohen wrote a couple of novels before he began his musical career.)
Salut F., old and loud friend!
A much more recent example is from the
rugbypass.com site, in a 19 July 2020 article about French rugby:
He encourages French rugby to stick to its independent train of thought that so intrigues and befuddles the British. "...Your best rugby is played by artists not scientists, crafters, not grafters, rule breakers not rule takers."
I think many rugby romantics would raise a glass to that sentiment. Salut.
Salut will be allowed from now on, as a rare word.