The Netherlands international has returned to training following a lengthy layoff through injury, but has not yet featured for the first team amid a dispute over his contract
Sporting director Marco Branca revealed last week that the Netherlands international will not feature for Inter until his contract situation has been resolved, but Stramaccioni says he is the only one making the final decision on whether Sneijder plays.
"I think his situation is more simple than it might seem. The coach has the final say on the matter and I chose not to include him in the squad. It's not a punishment," Stramaccioni said at a press conference.
"I see what goes on in training during the week and when the game comes round I make my choices according to what is best for Inter.
"Anything else you need to ask the club about, I'm not interested in what goes on away from the pitch."
The Nerazzurri reportedly want the 28-year-old to take a pay-cut and sign a one-year extension to his current deal until 2015.