It is Sagan Tosu who have won the race for his signature, though, with the 34-year-old revealing the J1 League to be his next destination at a promotional event on Tuesday morning.
"Sagan Tosu was one of the first clubs to be interested in me, they have convinced me with their sporting project".
Crouch, 37, played for relegated Stoke City in the Premier League last season, scoring five goals in 31 appearances.
"I hope to make my debut, at home, on July 21, then to be there for many years".
FFA's initial proposal was viewed as less appealing once Spanish income tax legislation was accounted for and while Torres' management asked for an improved offer, it was not forthcoming.
"I wanted something completely different, a change. It is a small team from a humble area which has gone to the top in its country, which attracts me too".
The Spaniard had been linked with moves to both the U.S. and Australia, but at a press conference on Tuesday morning he revealed he will instead head to Asia.
"Just because we may not have the size of wallet to back us up, we've still got a lot going for us and we'll keep rolling the dice because it's the right thing to do", he said.
"At the moment I am not thinking of being a coach".
Sagan Tosu president Minoru Takehara was present at the announcement, posing with Torres as he held the No. 9 shirt he he will wear next season.
Despite winning the Champions League and Europa League with the Blues he struggled to recreate his Liverpool form at Stamford Bridge and was sent to AC Milan on loan ahead of the 2014-15 campaign.