The Green Lantern Corps are dedicated to defending an entire universe, so they probably can handle an opposing team's offensive strategy. Add that to the fact that there are simply a lot
of them more than 7,200; the deepest of deep benches injuries over a 16-week season wouldn't be a problem. And all of that willpower has to be good for locker room morale.
Even without the power rings, the GLC has a former football standout to its credit: Guy Gardner, who could cause some definite trouble at one of the safety spots. Kilowog would provide a dominant presence at middle linebacker, and then leaner members like Kyle Rayner and Tomar-Re would fit at the cornerback positions. Fill out the rest of the lineup with some combo of Hal Jordan, John Stewart, Soranik Natu, Salaak, Sodam Yat, Stel and Turytt. (G'Nort = team mascot.)
Added bonus: pads and helmets made out of green light energy could really help the team's budget.