The 33-year-old central defender has started the last four international matches under Gordon Strachan, and is desperate to make it five when Scotland commence their Euro 2016 qualifying campaign with an arduous trip to Dortmund to face Germany in September.
Much, however, will depend upon the former Liverpool defender valuing Greer's ability to pass the ball out from the back, just as his previous two club managers, Gus Poyet and Oscar Garcia, have done before him.
"That is what every player strives for, to play the big games," said Greer. "For me I just want to start the season in good form for Brighton. If that gets me playing in front of 70,000 in Dortmund then great.
"Most managers want to play football," he added. "But when I went to Brighton under Gus Poyet it was different, we actually controlled the game from the back. I was on the ball a lot, and he gave us a lot of responsibility. Something changed in me, and people started to realise that I could pass it.
"Under Oscar it was the same. So it is a wee bit weird at the moment because you just don't know what kind of philosophy the manager is going to have, how he wants to play."