integrated LED light fixture
Yes, if it works at all (properly wired, not defective) it should work with a plain switch.
I have a bunch of dimmable LEDs on plain switches - they start about 1/2 second faster; they are slightly brighter (most LED dimmers don't fully bypass and are less than 100% bright as a result); and one of the fixture types I have makes an annoying hum on an LED dimmer, but makes no noise on a switch.