The midfielder is serving a fourth-month suspension for biting Italy defender Giorgio Chiellini during Uruguay's World Cup campaign but is aiming to get his ban reduced
Suarez was handed a four-month suspension for biting Italy defender Giorgio Chiellini during Uruguay's World Cup group fixture this summer.
Barcelona spent £70 million in order to sign the striker from Liverpool, although his ban prevents him from making his debut for the Spanish club until October.
"I have spoken to him, he is dying to begin," Iniesta said on Monday.
Suarez was in Lausanne, Switzerland on Friday, where he gave a statement to the Court of Arbitration for Sport in a bid to have his punishment halved, which would see him return at the end of August.
Iniesta also reserved special praise for another new recruit, Ivan Rakitic, who is set to play alongside the Spain international at the heart of Barca's new-look midfield after arriving from Sevilla.
"His quality has not surprised me," said Iniesta.
"We all know how good he is and we are delighted to have him here. He is physically very strong and can dominate in both halves of the pitch."