Cristiano Ronaldo spoke of the importance of making "the best decisions for the future" in the wake of Juventus' Champions League exit and the sacking of Maurizio Sarri.
Ronaldo scored twice on Friday to give Juve a 2-1 win over Lyon in Turin, but it was not enough to prevent them going out at the last-16 stage on away goals after a 2-2 aggregate draw.
On Saturday, the Bianconeri announced they had sacked head coach Sarri barely a year after he was appointed following his departure from Chelsea.
Sarri guided Juve to a ninth Serie A title in a row, but defeat to Napoli in the Coppa Italia final and a failure to instil his playing style on the squad had led to doubts about his suitability to the job.
Andrea Pirlo, who was only appointed coach of the Juventus under-23 team last month, soon emerged as favourite to take charge at the Allianz Stadium.
Ronaldo urged everyone at Juve to use the short off-season for "critical thinking" so that they can return to satisfy fans' expectations.
While he did not mention Sarri or the speculation around the coach's possible replacement, the Portugal star made it clear the club now need to get things right.
"The 2019-20 season is over for us, much later than usual but yet sooner than we expected," Ronaldo wrote on Instagram.
"Now it's time for reflection, time to analyse the ups and downs because critical thinking is the only way to improve.
"A huge club such as Juventus must always think like the best in the world, work like the best in the world, so that we can call ourselves one of the best and biggest clubs in the world.
"Winning the Serie A once again in such a difficult year is something that we are very proud of. Personally, scoring 37 goals for Juventus and 11 for the Portuguese national team is something that makes me face the future with renewed ambition and desire to keep doing better and better each year.
"But the fans demand more from us. They expect more from us. And we have to deliver, we must live up to the highest expectations.
"May this short vacation break allow us all to make the best decisions for the future and come back stronger and more committed than ever. See you soon!"
Zinedine Zidane, Ronaldo's former coach at Real Madrid, was fancied by some as a potential candidate to succeed Sarri.
Italy boss Roberto Mancini, ex-Tottenham man Mauricio Pochettino and Lazio coach Simone Inzaghi were linked with the job in the immediate aftermath of Sarri's departure.