Marlins coach Don Mattingly said the shattered organisation were "not trying to do anything other than just get through the day."
"We're just handling it the best we can, whatever way that is, for each guy," said Mattingly.
"We have a love for Jose, the way he played, his passion for the game, and his energy for it. And I think our guys want to honor that, and what we've learned from him and that joy that he played with."
Marlins president David Samson said Fernandez, a Cuban refugee who became a US citizen and achieved his dream of starring for a team in Miami, had been a role model beyond baseball.
"This was a loss not just in the baseball world, but a loss in the community," Samson said.
"Jose Fernandez represented the possibility of freedom and the possibility of what America can mean to the Cuban people."
Fans created a makeshift memorial for the pitcher at the Florida baseball stadium, leaving flowers and handwritten notes in his honor.
The tributes come a day after Fernandez's body was found, along with two companions, in an overturned boat off Miami Beach.
The Marlins cancelled their game against the Atlanta Braves on Monday (EST) as his teammates absorbed the shock of his loss.