The incident occurred during the first half of the match at the Etihad Stadium after a throw-in was awarded to Arsenal deep inside their own half.
Aguero believes the decision should have gone City’s way and briefly remonstrated with Massey.
The City striker argued close to Massey’s face and then grabbed the top of her shoulder before she brushed his hand away.
Aguero did not receive a yellow card for his actions and the Argentine, who was making his first appearance of the season after recovering from a knee injury, was substituted in the second half.
City, meanwhile, took the lead through Raheem Sterling’s goal in the 23rd minute.
The Premier League have already stated that it plans to clamp down on players who disrespect officials during matches.
‘The Professional Game Match Officials (PGMO) will take a stronger position and action towards unacceptable participant conduct,’ a statement from the Premier League reads.
‘This will focus on behaviour towards match officials, with the aim of reducing disrespectful conduct such as aggressively challenging decisions or running from distance to confront an official.’