Toffees players Marouane Fellaini, Jack Rodwell and Phil Jagielka have all been linked with moves elsewhere this summer, but the Australian international insists that he disregards transfer talk and places full faith in manager David Moyes.
"I never focus on speculation and I never invite it," Cahill told the Liverpool Echo. "If a club wants you they will come and buy you. If they don't want you, they don't want you.
"The best thing about this club is the relationship with the manager. We stay honest by him, and he stays honest by us. We let everyone else deal with the speculation and we just concentrate on our football.
"We have long-term contracts and we are paid to play. I have learned over the years that it is important to have respect for the football club, because of how much the fans and the club puts into us."
Cahill has made 191 appearances for Everton in seven seasons at the club, after joining from Millwall in 2004.