Is there a way to see the players running on to the field?

Yes, The television.

Buy the ticket in the club section F1 threw F4 the tunnel runs right through the edge of the field Club

Ive been to two games there this year. Unless you have really bad seats you can see them from almost anywhere in the stadium. Keep in mind they come out of the corner of an end zone, its a pretty neat experience

There is an area where you can get up close enough to high-five them on the way out, but i think you need a special pass to gain access.