Eto’o, 33, played for Chelsea on a one-year contract last season but that expired this summer and he is now available on a free transfer.
He scored 12 goals in all competitions for the Blues last season — all at Stamford Bridge — and has been attracting the interest of Sunderland, QPR and West Ham. However, Ajax’s ability to offer Champions League football may swing the balance in the Dutch club’s favour.
“Samuel seemed very hungry to play for Ajax. He is fit and has a great drive to succeed once again,” Overmars told Voetbal International.
“We don’t want to block the growing process of our talents like [Arkadiusz] Milik and [Richairo] Zivkovic, but if it is possible to sign a world class player like Eto’o, then why not? It will be fantastic.”