Moyes was chosen over former West Brom boss Pepe Mel to succeed the sacked Jagoba Arrasate on an 18-month deal with Sociedad on Monday, ending a seven-month break from football after his dismissal by Manchester United.
And when asked how he would define his managerial style at a press conference to mark his unveiling, the Scot invoked a comparison with Chelsea's legendary boss.
"Probably more Mourinho," Moyes replied. "I'm tough with players and like to work hard.
"But I'm looking forward to it. I want to take the challenge of getting the team back to the top end of the league.
"I took over a club very similar to this, in Everton, 12 or 13 years ago and we grew. I'm hoping to do the same here and see know reason why I cannot.The 51-year-old Scot also voiced his excitement at the challenge of coaching in La Liga - a league he believes is the best in the world.
"What convinced me [to join Real Sociedad] was the president [Jokin Aperribay]," Moyes said. "He was fantastically passionate about the club, about how special it was and what it meant to him.
"It was a big ambition of mine to manage abroad. I'm well rested, I have had six months off and I'm raring to go.
"I never had any doubt. I had several offers in the Premier League, but the only place that tugged at the heart strings was Sociedad. Coming here gives me the opportunity to manage in La Liga, which I consider the best league in the world.
"This is a big challenge, an opportunity to show that British managers can manage abroad. I'm always beating the drum about British managers managing abroad, so hopefully I'm the first of many. Hopefully it will make it a lot easier for others to do so as well in the future."