Di Natale suffered the injury during Italy’s 2-0 win over Montenegro on Saturday.
“The recovery time will vary depending on a decision that will be taken in the next few days,” national team doctor Enrico Castellacci told the Italian football federation’s official website.
“The doctors will have to decide whether to use conservative therapy or operate.
“In this case, Antonio’s season will be over and he will need five or six months to recover.”