The Sweden international has found opportunities difficult to come by during the opening months of the campaign, starting just one Premier League match as Arteta has regularly favoured Kai Havertz in attack.
The situation has prompted speculation about a possible departure in January, despite Gyökeres only joining Arsenal from Sporting CP last summer in a deal worth £63.5 million.
However, the 28-year-old has made his position clear. Asked by Swedish outlet Fotbollskanalen whether he wants to stay at Arsenal, the striker gave a straightforward response.
“I want to.”
Gyökeres has begun to find the net again in recent weeks after a difficult spell in front of goal. He scored against Fleetwood Town in the League Cup in October before finding the net again in Arsenal's Champions League victory over Slavia Prague.
Those goals ended a run of more than six months without scoring, and the striker believes his performances have been encouraging whenever he has been given the opportunity.
“It feels good when I've been playing. We've won most of our matches. It was a tough defeat in the cup [against Fleetwood]. Otherwise, things have felt good for me personally and for the team.
“I've done well recently when I've had the chance to play. Right now, it feels good.”
The forward has also played down any suggestion that his relationship with Arteta has become strained. He says communication between the pair is positive, with discussions taking place around tactics, opponents and what the manager expects from him when he is selected.
“Communication with Arteta is good. We talk about football and how we should play. Before a match, if I'm going to start, we talk about the opposition and what I should be thinking about.”
Arteta's selection decisions have nevertheless left Gyökeres with a difficult challenge. Havertz has frequently been preferred as the central striker, while the Swede has had to make an impact from the bench or when given opportunities in cup and European fixtures.
The former Sporting forward has experienced criticism from sections of the media and Arsenal supporters, particularly given the significant transfer fee involved in his move to north London.
However, he insists that outside opinion is not influencing his approach to football. He accepts that criticism is part of the game, but remains focused on producing goals and assists when he plays.
“Sometimes it might reach me, but generally not that much. If I score and provide an assist in the Champions League, I couldn't care less what they say.
“It's nice to put in performances like that. To deliver for myself and for the team. That's where my focus is.
“It's natural too. That's what gets the most headlines and what sticks with people when they hear it. I understand that's how it is.”
Gyökeres' recent improvement in form has given him an opportunity to strengthen his case for more regular involvement. Arsenal remain involved in several competitions, and the demands of the season should create further chances for the striker.
For now, his message is clear. Despite the speculation surrounding his future and the competition for a starting place, he is happy at Arsenal and wants to continue fighting for his position under Arteta.