The 24-year-old has likened his style of play to the famous board game, highlighting his measured approach on the pitch
The Armenia international sealed a club record €27.5 million move to Signal Iduna Park in the summer, and the former Shakhtar Donetsk ace says he is always thinking several steps in front of his opponent.
"I play football like chess," he told reporters. "You have to think a lot and anticipate what could happen after you make your move.
"If you make a mistake, your opponent can punish and you end up losing the game.
"The most dangerous area is the centre, which has to be either attacked or defended in football and it's the same in chess."
The 24-year-old, who netted twice in last week's 2-1 victory over Eintracht Frankfurt, went on to reveal he has harboured an affection for the German giants long before joining up with Jurgen Klopp's men.
"I always knew the players, the coaches and the stadium. I already followed the team when players like [Tomas] Rosicky, [Jan] Koller and [Marcio] Amoroso were here.
"This has always been a really interesting club and there is a photo of me as a child wearing a BVB shirt."
Mkhitaryan is currently on international duty ahead of Friday's meeting with the Czech Republic.