"We will study the detailed reasons of the commission once they become available, but find it extraordinary that the charges can be described as 'proven' when there is absolutely no evidence to prove the incident was intentional," the club said, in a statement.
"It is our strongly held belief - backed up by our relationship with the player, and knowledge of his background and character - that it was an accidental collision.
"Tyrone twice apologised to Ibrahimovic during the match for the accidental collision and also reiterated that there was no intent straight after the final whistle in a series of television interviews.
"We fully support our player. Tyrone has an excellent disciplinary record and has not been sent off in 75 matches as a professional. During that time, he has only received 13 yellow cards - the last of which came in April 2015."
Ibrahimovic, meanwhile, travelled to Russia yesterday with his Manchester United colleagues, ahead of tonight's first leg of their Europa League tie with FC Rostov.
The 35-year-old Swede's running battle with Mings escalated on the stroke of half-time, when the Bournemouth defender's studs scraped down the side of his head during an attempted hurdle of both Wayne Rooney and Ibrahimovic.
In the same United attack, Ibrahimovic's right elbow then connected with Mings's head, as the two jumped for a header.
Referee Kevin Friend failed to spot both incidents, with retrospective action taken on Tuesday, after a panel of three former elite referees had observed video footage.
Ibrahimovic had denied any intent after the game, claiming Mings "jumped into my elbow".
