Celtic boss will not submit to fan pressure over transfers
Strachan has added only Derry winger Pat McCourt to the squad that claimed the SPL title last season, although he has tied up a permanent deal for Georgios Samaras.
"We'll only bring in good players. We get every Tom, Dick and Harry thrown at us and it's not going to happen," Strachan told the Daily Record.
"It doesn't say anywhere in your contract about having to buy new players.
"You have to have common sense from everyone. If everyone wants huge wages they have to go to England.
"But we can provide UEFA Champions League football, 60,000 people every home game, decent wages and a chance to enhance your career."