Santiago Solari received the backing of Barcelona's Ernesto Valverde, who said the under-fire Real Madrid boss is a good coach.
Zinedine Zidane and Jose Mourinho have been linked with returns to the Santiago Bernabeu, where Solari is facing an uncertain future following Madrid's Champions League last-16 elimination.
Madrid squandered a 2-1 first-leg lead as the three-time reigning European champions were sensationally routed 4-1 by Ajax in the Spanish capital, where Solari's men are all but out of the LaLiga title race.
Asked about Zidane and Mourinho, Barca head coach Valverde told reporters: "They're good coaches and I have no doubt about that, as they've demonstrated it.
"Just like Solari is as well."
It was a terrible week for Solari and Madrid, who lost three consecutive home matches against Barca and Ajax.
Back-to-back defeats to Barcelona at the Bernabeu saw Madrid lose in the Copa del Rey semi-finals and fall 12 points off the pace in LaLiga.
Madrid – third in the league standings – are away to Real Valladolid on Sunday, while Barca host Rayo Vallecano on Saturday.