I'm sorry that you got injured, and hope you're recovering in good form!
We actually see a lot of this stuff in the ED, and I've sewed up much smaller. It need not go "all the way through" to do damage.
Any day of the week in the emergency room is a drag, but definitely consider it if your wound area gets increasingly red and/or painful, starts getting purulent (pus) or if you notice any differences in dexterity or sensation all the way to the fingertips -- the later being pretty hard to distinguish considering you've got a 1/2" hole in your palm!
Not my top recommendation, but I've seen dudes in austere settings recover quite well by cleaning the wound thoroughly, approximating (rejoining) the edges with tape, and covering with gauze. However, the wounds were fairly superficial and did not get floridly infected.