The former AC Milan and Chelsea striker, a huge name in Ukrainian football for more than a decade, will quit the national side after the tournament, just three months before he turns 36.
Though he has been fighting for fitness, to claim a regular place in the Dynamo Kiev team, he feels he can represent Ukraine one last time at Europe's football feast.
"We have a young team with potential. A lot will depend on how the young players will deal with the psychological factor," Shevchenko told Reuters in an interview at Dynamo's Koncha Zaspa training ground.
"There will be special pressure on them. If they can handle this, we have a good chance of getting through the group.
"The strongest part of our game is a quick switch from defence to attack. We have got a lot of fast players.
"So our game will be built on swift counter-attacks, using the wings... these are the strong cards we have to play. We will try to use them."
"We sometimes have problems in the air and though we have some strong defenders we often make mistakes from set pieces. We have to work on this and correct things, especially with strong teams like England and Sweden," Shevchenko said.
Following a two-year suspension, handed to Olexandr Rybka, for use of a banned diuretic, this leaves Olexandr Shovkovskiy as Ukraine's only fit and experienced keeper.
Ukraine play Sweden in their June 11 opening match and Shevchenko recognised the threat that their formidable striker, Zlatan Ibrahimovic, will pose for the host team's uncertain defence.
"Zlatan is a player of the highest class. He is having a dazzling season with Milan. He is very fit. A lot will depend on how we play as a team against Sweden. We have got to put the accent on team-work," Shevchenko said.
"The trainers and defenders will be analysing Ibrahimovic's game in detail," he said.
"Only team-work will bring success. The England team have a good chance of making the final. Wayne Rooney, Steven Gerrard and Frank
