The 32-year-old midfielder damaged knee ligaments last month and has missed Barca's last six matches, but he returned to training on Friday.
Enrique told a news conference on Tuesday: "Andres is waiting to be given the all clear by the doctors but this is just a formality. He is fit and he has been training with us. He is available for selection."
Iniesta will nevertheless not travel to Alicante for his side's Copa del Rey round-of-32 first-leg match against Hercules on Wednesday, as he is suspended.