The Uruguay international moved to Atletico on deadline day for the remainder of the season but the Spanish club do not have the option to buy the midfielder next summer.
Torreira impressed during his debut for Atletico last weekend and was praised by Diego Simeone for his performance in the 2-0 win over Celta Vigo.
And the 24-year-old says he has welcomed the change to move to Atletico after his family ‘suffered’ during his time at Arsenal.
‘And I’m not saying it because I’m here now, but I never dared to say it before because you know that maybe at some point you can’t come to that dream.
‘But today, really, at 24-years-old, I can say it. I’ve achieved this goal, this opportunity and I hope to take advantage of it and enjoy it above all, because the last season at Arsenal, on a personal level, hasn’t been good for me at all.
‘I’ve suffered a lot of things, I had a lot of personal problems and more than anything my family also suffered. And with this adventure everyone is very happy.
‘The most important thing is to be able to enjoy myself on the pitch, to be able to help teammates and make the fans happy, because in the end football is just that.’
Torreira has also praised Simeone for his man-management since his move to Atletico.
‘Being managed by ‘Cholo’ is something very nice,’ said Torreira.
‘His words were very important when coming here to the club and I’m really very happy.
‘It was only a few days before the game for me to understand his idea, but he was very clear with me and I understood part of what he told me.
‘There’s still a lot to learn, throughout this season there’ll be a lot of room to correct and hopefully alongside him and my teammates and the entire coaching staff I can learn a lot.’