is a good topical antibiotic
. You can continue using it. It will be better to start prophylactic oral antibiotic also if the cut is severe.
Usually small and shallow cuts do not need stitches and also have less chances of scar.
If the cut is long and deep, there are chances of scar formation and healing is also delayed. Such cuts almost always need stitches.
Visit a surgeon and let him/her decide the fate of the cut.