Despite losing the FA Cup final 2-1 to Chelsea on Saturday, Moyes is positive about the future for the Toffees.
"There may well have been an inquiry from Celtic but that doesn't interest me," said Moyes.
"I am not tempted to take any steps. At the moment I am the Everton manager. I am a really loyal person.
"I am also really ambitious. I will make sure the chairman stays ambitious and the club remains ambitious. We can't stop."