In an interview with CNN, FC Barcelona president Josep Maria Bartomeu said Luis Suarez's contract does not contain a "no biting" clause.
The Uruguay forward was suspended after biting Italy's Giorgio Chiellini during a 2014 FIFA World Cup match.
"We didn't rethink the decision [to sign him] and we told Luis after the bite. He knows he did wrong. He apologised. That's very important for us.
"That means he knows that he did not do things properly -- and of course, coming to our city, coming to our club, there's going to be a way of managing Luis Suarez, because at Liverpool he was a perfect player. Liverpool fans can tell it, supporters can tell it."
Suarez's appeal of his four-month ban from "football-related" activities has been set for Aug. 8.
Barcelona's first La Liga match is scheduled for Aug. 24. If Suarez does not win the appeal, he will not be able to play for the club until late October.
After the incident, Chiellini said he thought the striker's punishment was "excessive." Suarez later apologized to the Italian and promised he would not be involved in a similar incident again.
Suarez was also banned from playing in nine international matches and was fined 100,000 Swiss francs ($110,400).
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- Sarah Barshop