Everton: Michael Laudrup & Malky Mackay cool on job links
Swansea manager Michael Laudrup and Cardiff boss Malky Mackay have admitted they are flattered to be linked with the Everton job.
But both insist they want to continue the good work they have each done at their respective clubs.
Everton are seeking a replacement for Moyes, who will be replacing Sir Alex Ferguson at Old Trafford next season.
Laudrup, 48, told Match of the Day: "It's always flattering when you're being connected with clubs."
The Dane, who has guided his side to mid-table safety and Capital One Cup success this season, added: "After a great season with Swansea, we know have a very important next year."
Laudrup, who replaced Brendan Rodgers as Swans boss, signed a contract extension in March that ties him to the Welsh club until June 2015.
Everton would have to pay a significant amount of compensation - reportedly £10m - to prise him from that contract.
Mackay's Cardiff team have also enjoyed success, winning the Championship title and promotion to the top flight.
The 41-year-old Scot told the programme: "It's certainly very flattering to be linked to such a job like that but I've got something that we've built and we're really looking forward to coming into the Premier League.
"I've got an awful lot of hard work over the summer."
Former Barcelona and Real Madrid player Laudrup also believes Manchester United manager-in-waiting David Moyes has taken on a tough task, despite the wealth of talent that will be at his disposal.
The Swansea boss, whose side were beaten 2-1 at Old Trafford on what was Sir Alex Ferguson's final home game as manager, said: "Even having all the players it will be very difficult. I think maybe it's the most difficult job, right now, in world football.
"It was difficult to replace Pep Guardiola at Barcelona after four years and 14, 15 trophies. But here we're talking a lifetime."