The 22-year-old is expected to miss the remainder of Liverpool’s season after rupturing ankle ligaments.
Can fell awkwardly during Liverpool’s memorable 4-3 victory over Borussia Dortmund in the Europa League last week.
“I am a fighter and won’t let anything get me down,” Can told Sport-Informations-Dienst.
“I will give everything to try and be fit in time for the Euros and I am optimistic about achieving my goal.”
Subsequent scans showed the injury he sustained would rule him out for at least a month.
“At this moment it is not the best news to be honest but Emre wants to be back as soon as possible and we will try everything we can do,” Klopp told reporters at a news conferance before Liverpool’s clash with Bournemouth.
“It will take time, that is clear, but we have to find other situations – it is not about moaning about the situation.
“If he is injured, he is injured. We cannot change so we have to think about other things.”
Jurgen Klopp will now be unable to call upon two key midfielders following the latest injury to captain Jordan Henderson who is out with damaged knee ligaments.
Liverpool will take on Villarreal next in the Europa League semi-finals but if they do progress to the final Can may just recover in time as it will be played on 18 May.