Zappe is serving as the second-team quarterback for the Jets during OTAs, Rich Cimini of ESPN.com reports.
Zappe has nine career regular-season starts, giving him more experience than fourth-round pick Cade Klubnik and second-year pro Brady Cook. With Geno Smith locked in as the team's starter, Zappe, Klubnik and Cook are competing in an "open competition" for the backup role, per Cimini.