The news means bench coach Mark McGwire, pitching coach Darren Balsley, third-base coach Glenn Hoffman and first-base coach Johnny Washington are all expected to return next season, though the club has not formally announced as much.
Vazquez, who played three seasons for the Padres as an infielder from 2002-04, spent one season on Green's staff.
Meanwhile, the Padres' search for a hitting coach continues. The club already has interviewed candidates. NBC Sports Boston reported that Red Sox hitting coach Chili Davis is one of them, but a decision does not appear imminent.
AJ Cassavell is in his seventh season as a reporter for MLB.