The 51-year-old's job had come under pressure in recent weeks but the former Championship outfit managed to get their first win on the board by securing a 2-1 victory over Everton.
"I have total faith in him," said Zingarevich. "I'm sure he is the man for the job. I'm sure he can become a very good manager in the Premier League. I think he has the right characteristics to be a manager.
"You can be a good coach but it's about being the right manager. The way he handles the group and the spirit they have, the manager is a key person in all of that process.
"To be a good manager you need to be a good psychologist and he is, that's the key. From the first meeting I understood that."
Reading now reside one place above the relegation zone in the league table.