It was the first formal communication the club had received from either the player or his representative since the 26-year-old went public on his dislike of his treatment by the English media and the lure of Real Madrid.
While there no transfer request made Guardiola made it clear Suarez would at least like to consider playing elsewhere.
Liverpool remain steadfast in their stance that last season's 30-goal forward is not for sale but anyone bidding £40 million would have the chance to speak to him, although the club insist that figure does not represent a buy-out clause.
The Reds have maintained a good relationship with Guardiola during an eventful two-and-a-half years at Anfield and the discussions were amicable.
However, it is expected Guardiola will now spend the next couple of weeks trying to find a buyer for Suarez.
Real Madrid remain the favourites, with Suarez having already admitted he would not be able to turn down a move to the Bernabeu. But it seems the forward has not ruled out alternatives.
"My agent is in charge, he knows what I want," he told Uruguayan radio station Sport 890. "Now there are two or three options and the club knows.
"There are no (other) offers yet but Liverpool know exactly what is going on and what I want. It is good to know that I am still valued by teams like Arsenal.
"Friends call me up to ask if I am moving to Chelsea, to which I laugh.
"Don't believe everything you read or hear."