Suarez, 33, could be on the chopping block this summer as Barca prepare for a major revolution at all levels.
And following up on reports from Uruguay, Oriol Domenech has confirmed the Dutch giants want Suarez.
Domenech states that the Dutch club contacted Suarez weeks ago to present their offer.
La información que ha aparecido en Uruguay sobre el interés del @AFCAjax por @LuisSuarez9 es cierta. Desde el club holandés ya hablaron personalmente con el delantero hace semanas para exponerle su idea y su oferta.
— Oriol Domènech (@orioldomenech) August 17, 2020
It was with Ajax that Suarez made a name for himself in Europe after they signed him from FC Groningen.
Suarez scored 111 goals in 159 appearances during his time at Ajax, which led to Liverpool paying €26.5m (£22.8m) for him.
The Uruguayan went on to become a world class striker both for Liverpool and Barcelona, who signed him for £65m (€82m) in 2014.
Suarez has never failed to hit double figures in a season at Barca, scoring 198 goals in 283 matches.
A return to Ajax would be complicated, but Suarez is known to be keen on the idea.