Purslow insisted the board was fully behind Benitez, despite their failure to get out of their Champions League group.
Benitez said: "I was happy too with what Christian Purslow (managing director) said about me and the future straight after the game in Budapest, we beat Debrecen but we were out of the Champions League.
"But still for him to say he was supporting me was encouraging. Because over the last few months a lot of people have been talking too much about this.
"From the people at the top, everyone from the managing director to the kit man, we are all together in this."