Arsenal are currently leading the chase for the 26-year-old and lodged a bid of £40m +£1 earlier this week.
But Ayre told a press conference in Thailand, where Liverpool are preparing for a pre-season friendly, that the stance on Suarez had not changed.
"The situation with Luis Suarez remains the same," said Ayre. "It's never been our intention to sell Luis.
"We have received two separate offers from Arsenal and have rejected both."