Cahill, about to enter his eighth season at Goodison Park, has seen and heard it all before.
"I never focus on speculation and I never invite it," the 31-year-old Australia international 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."