The defensive midfielder, who currently has two caps for Spain, made 24 La Liga appearances for Diego Simeone's title-winning side last season but has reportedly become a target for Serie A giants Napoli.
Suarez, however, insists that he is fully committed to starting the new campaign with the Vicente Calderon side.
"I am now here in San Francisco and am working for Atletico," the 27-year-old, currently on pre-season duties in the USA, told reporters. "I have a contract with Atletico.
"I am very happy here, very happy, I'm on tour and there's not much more I can say.
"The team's goal this year is to fight for all titles, we're starting the season fighting for a major title, the Spanish Supercopa."
Atletico are due to face their city rivals Real in the first match of the two-legged final at Santiago Bernabeu on August 19, before the return leg three days later.
The last time the two clubs met was in the Champions League final in Lisbon, where Madrid triumphed 4-1 after extra-time.
"It is a special game, but there is no spirit of revenge, Lisbon is already forgotten," Suarez added.
Atletico are due to play against San Jose Earthquakes in a pre-season friendly on Sunday.