The 21-year-old has been at the club since 2008 and after progressing through the youth ranks is now part of the first team.
"In July I went to see the coach (Arsene Wenger)," the Frenchman told L'Equipe. "He told me I am a full member of the team and that he was counting on me.
"It showed me they trust me. [Alex] Song went to Barcelona and they didn't buy any defensive midfielders.
"I haven't played in [Arsenal's] first three games. That makes you think a bit. But I know I'll get a chance and I'll take it."
Coquelin further said that this is the season in which he aims to make the breakthrough at Arsenal.
"At 21, I can no longer afford to be patient," he said. "This is the year where I must break into the team at Arsenal.
"[I have] given myself six months, then I'll reassess. If I see no way in, I'll look elsewhere. I know that I have qualities to break through at Arsenal."
Arsenal have picked up five points from three Premier League games so far this season.