The Netherlands legend, who played for both clubs during his illustrious career, is confident that the Dutch giants can emerge from the group stages of the competitionAjax can cause an upset by progressing from their Champions League group, despite being paired with Barcelona and AC Milan.
The Eredivisie champions were drawn alongside the two European powerhouses in the group stage draw in Monaco on Thursday, along with Celtic.
And having recorded a number of impressive results in last season's competition - including a 3-1 victory over Manchester City - Cryuff believes the capital club are maturing and should aim to reach the last-16 stage.
"It’s a fantastic thing for football that these clubs get drawn against other," he told reporters after the draw.
"It’s another group of champions – football is like that and you’ve got to enjoy yourself and make the best out of it.
"We have to aim for the last 16; we have a young team and they play well together, so let’s see what happens.
"Last year we showed that we were capable of knocking Manchester City out of Europe; let’s aim for the same again."