The Gunners got their season back on track with a 3-0 win over Bournemouth on Saturday.
Before that Arsenal had lost matches to Liverpool and Stoke before the international break.
Bellerin told The International Business Times UK: “If we did not think that we could win the title, what we would we be doing here?
“It would not make any sense. We train every day very hard to be able to win the Premier League. It has only been two bad games.
“It has been a difficult period for the Arsenal family. Players knew that we had to give our 100 per cent against Bournemouth because we had to win no matter what.
“It was a good way to prove that we have just had two bad games and we have to move on. I am very happy with the attitude and the result.”
The Spanish starlet also believes it is way too early in the season to be writing off anyone’s chances.
“Look at how Chelsea began last season and how they ended up winning the title,” Bellerin added.
“It doesn't only matter how you start but to be consistent. Check the Chelsea results at the beginning of last season.
“They had a difficult time too, they lost two games and won several games in the last minutes (against West Ham and Watford). Then, they won 13 consecutive games and eventually won the Premier League.
“Manchester City, however, started very well and then faded out. The important thing is to be consistent throughout the season. We have had two bad games but we now have six points and we have to look forward.”
Arsenal now turn their attention to the Europa League as they host German outfit Cologne on Thursday evening.
