In his final match as United boss, Ferguson was denied a winning send-off as the Baggies came from 3-0 down, and 5-2 down, to clinch a 5-5 draw - the highest-scoring draw in Premier League history - and Clarke felt his counterpart may have been irked by the result.
"I am not sure Sir Alex enjoyed it that much," said Clarke.
"There is no point analysing the game. We had a great Plan A, which went out of the window after 10 minutes.
"It was a great occasion. That game will be remembered for a long time.
"He was quite complimentary about our season and I wish him all the best."