Torreira, who enjoyed an impressive debut campaign at the Emirates Stadium following his £26.4m move from Sampdoria last summer, revealed he “had a better time in Italy”.
AC Milan have been linked with a move for the 23-year-old midfielder.
But Starsport understands Torreira, who has four years left on his contract, is not for sale and not pushing for an exit.
Torreira made 50 appearances in all competitions as Arsenal secured a fifth-place finish in the Premier League and reached the Europa League final.
Another season outside of the Champions League beckons but the Gunners are not under pressure to cash in.
Despite being a regular under Unai Emery last season, Torreira told Uruguayan outlet Ovacion that he was struggling to adapt to life in England.
“I don’t know if there are many things that I enjoy,” he said. “I think I had a better time in Italy.
“England is a totally different world. The language (barrier) has stopped me being able to relate with my team-mates and the people. It is very difficult when you can’t have dialogue.
In other Arsenal news:
“And then there is the weather. You go out in the morning and it is cloudy, you arrive at your house in the afternoon and it is cloudy.
“We are from here (Uruguay) and we are used to always – or almost always – having the sun. But as the years go by, I’m going to adapt.”
He added: “We all know what England is about and what the Premier League is about. I made a very important jump at a football level.
“At Arsenal we played four competitions, while in Sampdoria I was used to playing in only two – the Serie A and Coppa Italia.
“There were many more matches. I had to get used to playing every three days, which is very hard.
“Unfortunately, we were not able to qualify directly to the Champions League, and we played in the final of the Europa League. Losing that final was very hard, not only for us but for the club.
“But for me the balance was positive and I am satisfied and happy with what I did during the year. I played 50 games, practically twice as much as I played the season before.
“As you gain experience and have different partners by your side, you will learn a lot. I have learned a lot, especially how to handle the matches and their different situations.”