I am sure he will be fine. I got 2/3 degree burns to one palm when I was little (We were playing tips out in the yard and decided to use the incinerator at "bar" - not knowing that it had been on all morning and was majorly hot) and while I can still see the scar it is only because I know where it is. It hasn't affected the function of my hand at all and doesn't cause me discomfort or anything like that - unlike the 2 degree burn I got on the other hand as an adult which causes me hassles all the time. Kids have an amazing ability to heal and recover.

Give you little man a big hug from me - and tell him that he is being very brave.