If that were to happen it would leave the Gunners short of numbers up front, leading to manager Mikel Arteta becoming heavily reliant on captain Pierre-Emerick Aubameyang for goals.
There are, of course, promising young talents such as Gabriel Martinelli and Folarin Balogun but it would be unfair to put too much pressure on the two teenagers.
With that being the case, an attempt to sign a new striker is likely. So who could they sign? Press the next page as we look at five forwards Arsenal should consider going after.
The 24-year-old positions himself between opposing central defenders behind the near-side defender, who cannot see him, and far enough away from the other that he has space to himself. Lethal in the box and especially in the air, 42% of his goals have come from headed attempts.
Calvert-Lewin would cost more than £60m given his ability and the fact that he recently signed a long-term contract.
Ivan Toney broke the Championship record for goal contributions last season where he scored 33 goals and provided 10 assists.
The Brentford striker has been playing in the lower tiers of English football and so far in his first season in the top flight he has 2 goals and 2 assists and seems to be adjusting well.
Toney is a classic predatory forward, a dominant force in the opposition penalty area and a formidable aerial presence. The 25-year-old makes intelligent runs as he is always looking to occupy spaces and evade markers, making him hard to defend against.
He also works extremely hard when pressing opposition defenders and drops off to hold up the ball or keep attacks flowing. His price tag will depend on how his Premier league season goes.
Watkins is another Premier League striker that has been linked with a move to Arsenal.
In his first Premier League campaign, Watkins scored 14 goals for Aston Villa, including a hat-trick against Liverpool and a brace against Arsenal at the Emirates Stadium.
The 25-year-old has a contract until 2025, Watkins has long stated that it is his dream to one day play for Arsenal, with Thierry Henry his idol.