The Motherwell forward played for Estonia against Les Bleus in an international friendly last Tuesday and believes that while Laurent Blanc's side are formidable from middle to front, their weak link is at the back.
Ojamaa's country were on the end of a 4-0 defeat last week but Blanc was still critical of his defenders and called for a back four made up of Mathieu Debuchy, Adil Rami, Phillipe Mexes and Patrice Evra to raise their game.
The Fir Park striker could understand why and said: "I was able to get in behind them a few times and we had chances in the first half of that game which we didn't take"I felt that there was a definite weakness about France at the back.
"Their two centre-backs were quite ponderous. I like to run at defenders and if I was able to get some joy doing that, then I would imagine that England could really exploit the pace of someone like Theo Walcott against them.
"That isn't to dismiss France – they are a good team and they walloped us 4-0 without playing particularly well.
"They have also had a very good build-up to the tournament and I would have to say that Franck Ribery and Samir Nasri looked fantastic. They were a class apart.
"But I did think that if we were able to create opportunities and get in behind them, then teams like England will do damage.
"They are an attractive team, especially when they get the ball into wide areas.
"If Ribery can sustain his current form throughout the tournament I think he could be one of the standout performers. He has a fantastic football brain.
"It just depends on how France go about their business. They have goals in them but I think they lack pace at the back and if I was about to come up against them in the European Championships, I'd be wanting to run at them at every chance I got."
While much of the talk this past fortnight has been of Rio Ferdinand's exclusion from Roy Hodgson's squad there has been little of the usual hype that precedes the beginning of a tournament where England are represented.
It has been a relatively quiet preparation, although the controversy over Hodgson's selection will surely be revisited if results do not go in England's favour.
While Ojamaa fancies that Germany could usurp Spain and claim the crown, he is not ruling out an England victory in Poland and Ukraine.
"We are all familiar with the England squad and the depth of talent they have in it because we see their players every week," he said.
"I think they just might go far in it, but for me Germany are the ones to watch.
"They have such a strong squad yet I have not heard many people say that they fancy them to go all the way and win it.
"They have a relatively young squad but they are all very experienced at both international and club level – and at the very highest level."
Ojamaa is relishing the chance to get his feet up with his brother in Florence this week and kick back and enjoy the tournament.
It has been a relatively demanding season for the 21-year-old Estonian and although he is looking forward to a bit of breathing space from football, he will be an avid viewer of the European Championships.
OJamaa, whose country lost to Ireland in the play-offs for the competition, said: "I love the tournaments!
"It is always really special watching the top teams compete and I think it would be amazing to get the chance to play at that level.
"This year we have to content ourselves with watching from afar, but you never know – maybe one day.
"I think you can learn from watching the best and seeing how they go about things but you always have to remember that they are also doing it when the pressure is on them.
"Sometimes that is the test for players – to see if they can cope and still be at their best when things are tense and there is so much at stake.
"But I hope we get a good tournament.
"The big ones – Spain, Italy, France and Germany – all have it within them to produce really good football and hopefully that's what we'll see."