Despite that, rumours have begun to circulate that Milan are keen on the Uruguay international as they begin to rebuild following the departure of manager Gennaro Gattuso.
And the 23-year-old has hinted that he would not be adverse to a Serie A return having struggled to adapt to life in London, particularly citing the language barrier.
"I don't know if there's a lot of things that I'm enjoying because I think I liked living in Italy more," he told a press conference. "London is a completely different world. England is a very big country.
"I had trouble with the language, communicating with my team-mates and with the people. It's pretty rough in certain moments when you can't have any dialogue, that's the most important part."
Torreira also suggested that the lack of sunshine in England had also not helped when it came to making the transition from the north-west of Italy to north London.
He did, though, admit that he believes he could get used to the climate, suggesting he is not thinking about an Arsenal exit quite yet.
"The weather is also difficult," Torreira added. "You go out in the morning and it's cloudy and you get back after training and it's still cloudy.
"I miss the sun. Mostly us South Americans are used to having sunny days. But I think I'll get used to it as the years go by."
Torreira is currently preparing to represent Uruguay at the upcoming Copa America, which is being hosted in Brazil.
Oscar Tabarez's side last won the competition in 2011 and head into the 2019 edition as one of the favourites having reached the World Cup quarter-finals 12 months ago.
Luis Suarez and Edinson Cavani continue to lead the line while Diego Godin will again marshal the defence as they begin their campaign against Ecuador on Sunday.