Zidane made his mark by making changes to the Los Blancos starting XI for his 150th game in charge of the club, including Keylor Navas in place of Thibaut Courtois, and starting the much maligned Isco.
The 29-year-old Bale has scored seven goals and made two assists in 22 La Liga games this season but he has only started 16 times in the Spanish top flight this term.
Along with Isco and defender Marcelo, the Costa Rican Navas was one of the main beneficiaries of Zidane's return 10 months after the Frenchman had walked out on the club having won an unprecedented three consecutive Champions League crowns.
Madrid lie 12 points adrift of leaders Barcelona, who play away at Real Betis on Sunday.
Isco gave Real a deserved lead in the second half in the Madrid sunshine and Gareth Bale further raised spirits by sealing victory later in the game.
Marcelo comes in ahead of Sergio Reguilon, who did well under Solari.
"We want to think positively and defeat Celta tomorrow, I do not want to think about anything else, but the players are keen to show what they are worth".
Zidane has also made a big call in goal, with Courtois dropping to the bench after a 4-1 comeback win at Real Valladolid last week and Costa Rica worldwide Keylor Navas recalled. We have to respect everything the previous coach did, but Marcelo, in my eyes, is happy and eager to play, so I am happy with this.