Juve are reeling after their Super Cup defeat to Lazio.
“We're only at the beginning of a long season, so we need to be calm," Higuain told Mediaset Premium before meeting Cagliari.
“Serie A begins today and we hope to repeat the successes of last year and even improve them, winning as many trophies as possible.
“The fans deserve respect and we hope to give them joy today, starting a campaign along with them that is up to the standard of the last.
“Douglas Costa is a great player, a good lad and we hope he can help us to go as far as possible."