Not the Greek god, but the club. They share a glorious past and a pragmatic present. And right now, both have an urgent need for Champions League resurrection.
So far, Group H has brought a pair of painful evenings for Celtic, with only a slightly better reward for Ajax, who earned a point against AC Milan.
The Celtic manager's admiration for all things Ajax will be put to one side on Tuesday at Celtic Park as he tries to kick-start this campaign with a win over the Dutch champions.
Lennon loved the celebrated Ajax side who won the Champions League in 1995. It was also the first team he faced in European battle when he moved to Celtic as a player and he retains a respect for the current Ajax team because he bought Derk Boerrigter from the Amsterdam club for £3 million.
Both clubs emerged from the east end of their respective cities and earned reputations for developing players. Lennon believes the famed Ajax academy is on a par with Barcelona's but neither he nor Frank de Boer can enjoy the teams they have assembled. Selling is the priority, which is why Lennon and De Boer were stripped of Victor Wanyama and Christian Eriksen. Each banked £12m from those sales and that money will have to keep one of them warm over the winter, should either fail to grasp the Europa League place that now seems the only prize available.
Lennon still believes his players can qualify for the last 16 of the Champions League - even without suspended captain Scott Brown - but he admits Tuesday is crucial. "We can't lose it, put it that way," said the Celtic manager. "We are four points worse off in the group than we were at this stage last season. We have a bit of work to do.
"Ajax are a very good side but we are at home and I think we will be confident enough to take the game to them. There is a frustration that we have not taken anything from our two games so there is a lot of emphasis on this game. If we can win it, brilliant. If we get a point, it means we have to go to Amsterdam and win. I think we are capable of doing that."
Celtic did just that when Lennon made his European debut for them in the Amsterdam Arena in August 2001 in the first leg of the Champions League play-off. A 3-1 victory secured a place in the group stage for Martin O'Neill's side, although they lost 1-0 on their own patch.
"It was a fantastic night," recalled Lennon of his Amsterdam occasion.
"We played very well and it was a great win but then they battered us at Celtic Park after Wamberto scored, playing us off the park for long periods. That's what Ajax are capable of doing and that's my concern. I am very wary.
"The Ajax side who beat AC Milan in the 1995 final was one of the dominant teams in the 1990s. For them to do that with the group of players they reared themselves was incredible. That was Louis van Gaal's team and he will be here on Tuesday to watch players now he's in charge of Holland. They had a great team in the 1970s onwards, and a wee spell in the 1980s where it went a bit quiet for them, but they rebuilt and are rebuilding again during this period.
"Ajax's is one of the great youth academies. Probably they and Barcelona are the two best in Europe. How they keep doing it, I don't know. It's something they've worked on for a long time to perfect. They have Frank de Boer as coach, Ronald [de Boer] is there with development players, Dennis Bergkamp is there. Marc Overmars is director of football, Edwin van der Saar, too. They get old players back and keep that tradition running through the club, which is very impressive.
"This Ajax team are younger. They are bringing the youth through as quickly as possible. They sold Eriksen [to Tottenham Hotspur] and Toby Alderweireld [to Atletico Madrid]. That's been their philosophy for the last three or four years but they're still very competitive. They finished ahead of Manchester City last year in a group with Dortmund and Real Madrid, and won the Eredivisie."
One of the undoubted successes of Celtic's youth system, Charlie Mulgrew, took the long way round to the first team, but is flourishing since Lennon brought him back from Aberdeen. The Scotland defender is seeking atonement against Ajax, after confessing that his miss against Barcelona still haunts him.
"I probably felt the worst I have felt after Barcelona," said Mulgrew. "You can never usually sleep after these games as you keep running it through your mind. I actually lay there and convinced myself it had gone in.
"We know we need to beat Ajax if we want to get second place in the group."