Make no mistake, the Premier League is tough—Gyökeres must be prepared for all its demands, as it will undoubtedly be a source of pressure if he isn't productive in goals.
How many players have failed at his £80 million price tag? That's a lot, but hopefully he can shine as many expect. He must also be able to adapt easily to be even more productive.
But wait? I'm not convinced he'll be the Premier League's top scorer.

Gyokeres likely won't have too much trouble adapting, as he's already quite familiar with the Premier League, having previously played for Swansea City and Coventry City on loan from Brighton. I think Gyokeres will be able to perform as expected, befitting his very high price tag. While he won't immediately become the Premier League top scorer, with the depth of Arsenal squad, I think Gyokeres will be able to score more than 15 goals in his first season.
Arsenal chances of winning a trophy next season will automatically increase, as Arteta now possesses all the necessary attributes to make that happen. However, I still think Liverpool and Manchester City have slightly better chances than Arsenal. Overall, Arsenal will be a team to be reckoned with in the race for trophies, and if they fail again, perhaps the club top brass will sack Arteta at the end of the season.