The 21-year-old moved to the Britannia Stadium on a free transfer from Barcelona over the summer and the deal was seen as something of a coup for the club.
The Spain Under-21 international has been used sparingly so far, though, by boss Mark Hughes, making just two appearances in the Capital One Cup against Tranmere and Walsall.
His path to a starting spot in the Premier League is currently blocked by established duo Ryan Shawcross and Roberto Huth, but Muniesa insists he is happy to wait for his chance.
"I'm very happy to be here at Stoke," he told the club's official website. "I played two games in the Capital One Cup, but in the league at the moment I don't have the opportunity.
"I'm patient because I know the opportunity will arrive and I'm working to have these opportunities.
"I'm looking forward to playing in the Britannia Stadium with all the supporters and I want to do the best for this team."