The national team have a host of players out for Saturday's warm-up friendly against Bosnia-Herzegovina, but the Italian insists that there are no major concerns for the finals.
"St Ledger has a little soreness in the groin. I think it's possible after Saturday or Sunday that he can play, but it's better we don't take a risk and he rests," Tardelli told Sky Sports News.
"Richard Dunne has a little problem also in the groin, but I think after two or three days, he will be good.
"Neither John O'Shea nor Richard Dunne will play [against Bosnia] - I think. I am not very sure, but it's possible."
Republic of Ireland's Euro 2012 campaign gets underway on June 10 when they take on Croatia.