Lambert claims that these youngsters will reap the benefits of their pressure-free approach at France as the Three Lions get set to kick off their campaign at the UEFA tournament against Russia in Marseille on Saturday.
"I think the young ones who have come onto the scene over the last two seasons have started to get the country excited again," the West Bromwich Albion striker told Sky Sports.
"It was obviously a big disappointment after the World Cup, but the emergence of the Tottenham lads, as well as Rashford and (Leicester City's Jamie) Vardy, it's brought a new lease of life into the country. Slowly but surely the hope and excitement for the whole country has come back.
"They have no fear. That's what I'm so excited about. Normally the pressure gets on top of people, but I can't see it happening to them."