The 33-year-old, who has a special lifetime contract with the La Liga leaders, has been tipped to leave Camp Nou at the end of the season.
Iniesta is expected to officially reveal his decision by April 30, with a move to Chinese Super League side Tianjin Quanjian being heavily mooted by the press.
"I know what I will do," Iniesta is quoted as saying in Spanish publication Sport following the 2-1 win over Valencia. "When I have to say it, I will say it. First to the club, then the coach, then everyone else. Anyone can take these words any way they wish.
"I have the love and respect of the fans now and forever. It's not something that will make me change my mind. I'm grateful. They have been watching me for many years. It's my home, today I'll remember the support they have given me since the start."
Iniesta has spent his entire career at Barca, scoring 56 goals and registering 141 assists in 669 appearances.