The Merseyside outfit made their first major signing of the summer when Salah moved to Anfield in a reported £34m deal last week.
The Egyptian international will be an attacking option for manager Jurgen Klopp, but he struggled in the Premier League during his two-year spell at Chelsea, making just 13 Premier League appearances for them.
After moving to Roma on a permanent basis last year, the 25-year-old scored 19 goals and produced 15 assists in all competitions.
"I am really looking forward to it because he's a really good player," the Liverpool Echo quotes Salah as saying. "Yesterday or the day before I saw the stats for him from last year in Italy. I think he will be a very good player for Liverpool."
Can is expected to miss the start of Liverpool's pre-season as he is due an extra break because of Germany's campaign in the Confederations Cup.