Martinelli is expected to be sidelined for several weeks but early indications are he will return for Arsenal's pre-season in July, assuming there are no setbacks in his recovery.
The Brazilian will miss Saturday's trip to Nottingham Forest and Arsenal's final match of the campaign at home to Wolves on May 28.
Martinelli has been a key part of Arsenal's unexpected title challenge this campaign. The forward has featured in all 36 of Arsenal's Premier League matches, scoring 15 goals and adding five assists.
After signing from Sao Paulo club Ituano in July 2019, Martinelli signed a long-term contract extension at the Emirates Stadium in February.