Some media sources claim that the new quadruple world champion is demanding a pay-rise for a new contract in 2019 and beyond.
Niki Lauda, the team chairman, thinks that Hamilton has driven perfectly this year.
"This year, Lewis won the championship for Mercedes, it's that simple," he told Brazil's Globo.
"I think Ferrari had the best chassis-engine package, and now Red Bull has arrived too. But Lewis drove like never before, with little to no errors, driving like a God, and gave us the title."
Team boss Toto Wolff concurs, saying: "He's the greatest driver I've ever worked with. We really want him to stay with us, of course."
Lauda agrees that Hamilton staying in the future is important to Mercedes.
"Experienced drivers become better grand prix after grand prix, year after year. It's the only way to succeed in any sport," he said.
To that end, Lauda hinted that Mercedes will keep an eye on the development of young sensation Max Verstappen.
"Max is the most fantastic young driver I've ever seen, no doubt," said the F1 legend.
"The only thing I would tell him is to keep his feet on the ground. He has a tendency to lose control of himself, but if he masters those impulses he can be one of the greatest drivers F1 has ever known."
Hamilton clinched his fourth championship title at the Mexican Grand Prix with two races to spare.