The former Manchester United manager was appointed on an 18-month deal in his first job since being sacked at Old Trafford in April.
Moyes has been welcomed by Sociedad players, with the team sitting 15th having upset Atletico Madrid last time out.
"I think he's come here with a lot of enthusiasm and with very clear ideas," he told a news conference on Tuesday.
"He knows what he wants from us, he's shown that he knows us very well and I think he's working on a very particular style of play, which requires a lot of intensity.
"That's how he's shaping things in the training sessions."
Sociedad (nine points) have as many points as 19th-placed Levante, making their meeting with Deportivo La Coruna - who are 17th - vital.
Diego Simeone's Atletico Madrid face another La Liga test on Saturday as Sevilla look to challenge Barcelona.
In the lead up to his team's clash against sixth-placed Malaga, Simeone has been dismissing speculation surrounding his future.
League leaders Real should be too good at Eibar as Carlo Ancelotti's men aim for a 14th straight win in all competitions.
A win and Real's lead at the top could grow, with Barca hosting Sevilla.
Luis Enrique's men have suffered two losses in their past three La Liga outings and enter the clash after a week that included star Lionel Messi hinting he may leave the club at season's end.
