The ex-Spain worldwide left Atletico Madrid for the second time in his career at the end of his contract at the Wanda Metropolitano last month.
It had been widely reported that Sydney FC, with the FFA's assistance, were chasing former Liverpool and Atletico Madrid striker Fernando Torres - only for the deal to fall through in the last 24 hours - with the 2010 FIFA World Cup victor announcing he had signed for J-League club Sagan Tosu.
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.
The FFA will now turn their attention to former England worldwide and Premier League veteran Crouch.
After announcing he would be leaving Atleti, Torres was linked with a whole host of different clubs, including the likes of Chicago Fire and Sydney FC.
Iniesta's move arguably represented Japanese soccer's biggest transfer coup, with many top players now moving to cash-rich Chinese clubs in the twilight of their careers.More news: Trump says added North Atlantic Treaty Organisation funds not enough for U.S.
Torres finished his second spell at Atletico Madrid last season, playing 45 times in all competitions for his boyhood club.
He scored 126 goals in 314 matches in an eight-year spell in English football including four years with Liverpool when he scored 81 times in only 142 games.
"But at no point did I think about moving to another European team".
Takehara added: "It is an honor to welcome the Spanish prodigy to Tosu".
The move had been teased at the end of May when the Japanese side accidentally posted an article on their website confirming Torres' arrival.