The 24-year-old Frenchman has had a record-breaking first season in Madrid, finding the net 22 times.
Real Madrid star Ronald leads the tally with 39 goals while Barcelona talisman Messi follows with 38.
"I am focused on my work and my team. I don't think about others, only about getting better and better," Griezmann told PTI during an interview.
"I knew that people were expecting a lot from me due to having been the second most expensive signing of the club's history, so I have been trying to give back that trust on the field, to make the fans and my teammates happy.
More From This Section
"It's a different style of playing but I knew that I could do it. I am confident and I knew that everything was going to be all right if I worked hard."
"I always say that I needed a coach like Simeone to progress. He encourages you non-stop, he gets the best of you because the player has no doubts in giving his all for him and the team.
"In every training session I learn something new thanks to him. The success of the team is largely due to his way of motivating the players. He is key," Griezmann, who had started his competitive career at Real Sociedad, said.
Even Bundesliga giants Bayern Munich recently showed interest in the French footballer.