Berardi, who signed for the Championship outfit in the summer, was sent off in the closing stages at Elland Road for a waist-high challenge on an Accrington player, and Hockaday had no complaints with the referee's decision to give the Swiss international a red card.
The 56-year-old is quoted by Sky Sports News as saying: "I am disappointed in him and for him because his tackle was reckless.
"It was dangerous play and he has to learn. He got tired and when that happened, he made a poor decision. He has been punished for it, quite rightly."
Two goals from Souleymane Doukara ensured that Leeds progressed through the League Cup tie.