good one, bearisgray.
as mpspeedy mentionend, some of the jerseys may melt....wish i didn't have experience on this part, but unfortunately i agree. be especially careful with names and numbers. i ruined my son's numbers with over-ironing and tried to fuse it using a press cloth....how shall i put this?? uh, he no longer has a number on his jersey...permenantly rippled plastic is a little difficult to work with. :-)
the other jerseys we have on hand are all polyester...good plan to fuse with a cotton and if you can find some flannel in a matching color, I'd use that as the material to fuse with if it is mesh. then you can fuse just the edges if it has plastic numbers/names on it without ruining the jersey.
happy sewing!