Of course, even if Nick Fury will not appear in Avengers: Infinity War it doesn’t mean we won’t see him again before the end of Phase Three.
It’s possible, if not likely, that most of the big “team up” moments will take place in the latter film so Fury might only be conspicuously absent then.
It’s possible the character is being held back for Avengers 4.
While these last two Avengers movies are no longer being called part one and part two, from what we know, we still expect them to be connected from a story perspective.