Wenger received a three-match touchline ban for misconduct following the New Year's Eve game, which ended 1-1 after West Brom were awarded a disputed late penalty which they converted.
In giving the written reasons for punishing the Arsenal manager, the FA included testimony from Dean which said Wenger confronted the officials after the game.
"He was very aggressive leaning towards me, pointing aggressively at me saying, ‘You’re not honest’ on numerous occasions," Dean said.
"I replied, ‘So you’re calling me a cheat’. He replied, ‘I maintain what I say, you’re not honest’.
"He then said, ‘You’ve done this to us many times before, you’re supposed to be professional, you’re a disgrace’."
The testimonies of the assistant referees and the fourth official supported Dean's account of the confrontation.
An independent disciplinary panel on Jan. 5 gave Wenger a three-game touchline ban and 40,000 pounds fine.
The FA said Wenger admitted his "language and behaviour was abusive, improper and questioned the integrity" of Dean.
Wenger served the final match of the ban in Sunday's 2-1 Premier League defeat at Bournemouth.
The Frenchman received a four-match ban for misconduct last January for pushing the fourth official after Arsenal's 2-1 win against Burnley.
(Reporting by Toby Davis; editing by Ken Ferris)
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