That is the view of former Gunners striker Charlie Nicholas, who says that if a player makes it clear that they want to leave then the best thing to do is cash in.
Torreira has only played one season for Arsenal after making a £22m move from Serie A side Sampdoria last summer.
The Uruguay international became an instant favourite with the fans, especially after scoring in the north London derby win over Tottenham in December.
The 23-year-old has recently hinted that he would consider a return back to Italy however.
The midfielder has admitted that he prefers Italy and that he has stubbled to adapt to the English language barrier and weather.
“I don’t know if there are many things that I enjoy [in England],” Torreira told reporters.
“I think it was better in Italy. England is a totally different world, a very large country.
“The language [barrier] has stopped me, to be able to relate with my team-mates and with the people. It is very difficult when you can’t have dialogue.
“The key I think for the Arsenal right now is who they can get out the door”
“And so is the climate. You go out in the morning and it is cloudy, you arrive late to your home and it is cloudy.
“It is strange a little bit, the sun, the more of us that we are here and we are accustomed to having always or almost always the sun.
“But as the years pass, I’m going to be adapting.”
AC Milan have been linked with a move for Torreira but Arsenal are said to be not interested in letting him go.
Failure to qualify for next season’s Champions League means the Gunners only have a summer transfer budget of around £40m.
This means they will have to sell some players if they want to bulk up the amount they can spend on new players.
And Nicholas has named Mesut Ozil and Henrikh Mkhitaryan, and maybe Torreira as players who could leave.
“The key I think for the Arsenal right now is who they can get out the door,” he told Sky Sports.
“If you can get the right offer and move Ozil out, Mkhitaryan can go, I want to keep obviously [Pierre-Emerick] Aubameyang and [Alexandre] Lacazette and give youngsters an opportunity here.
“Torreira’s another one who seems to be interested in going back to Italy – if you get the right money, take it.
“But come on, start moving on.
“I’m going to wake up in the next couple of weeks and hopefully over those periods of time Arsenal have signed two or three players defensively.”