Callejon scored 13 times in all competitions last season as Real regained the La Liga title after a four-year wait and he is hoping for even more game time in the coming campaign.
The 25-year-old, who joined Jose Mourinho's side from Espanyol in 2011, told AS: "I am not going to move. I am very happy in Madrid, I want to do well and Mourinho believes in me. There are many reasons why I want to continue.
"I have a lot of desire. I want to continue showing my commitment to Madrid, enjoy the minutes and help to win as much as possible."
And the former Spain Under-21 international is hoping he could even force his way into the national side that just regained the European Championship in time for the 2014 World Cup.
"It is the dream of any footballer. It is clear that I would like to receive the call. But this arrives with hard work and now I am only thinking about doing well for my team. If this happens then the rest depends on the manager," he said.
"I always saw the national team in a good light. They have had a great tournament and returned to show the level of Spanish football. It is difficult to find a generation of such good footballers."