Mourinho is now at the helm of Roma, after the Italian side mutually parted ways with Paulo Fonseca.
Mkhitaryan says the Portuguese tactician does not care about how his team plays as he always want to secure the maximum points.
Having worked with Mourinho during his time with Manchester United, Mkhitaryan knows the demands of the former Chelsea and Tottenham Hotspur boss.
The former Arsenal midfielder famously had problems with Mourinho while they were at Old Trafford, but have now put those concerns behind them.
“Mourinho is very ambitious, he always wants to win. He doesn’t care if we play good or bad football, it’s all about the three points.
“Everyone knows he has won almost everything there is to win. I don’t want to talk about the past, we discussed it together and started from scratch on a different level. I know what he asks of his players and I am ready to give my all.”
The 32-year-old revealed he had offers elsewhere before signing a new contract with the Giallorossi.
“I remained because I believed in the project of this club, I liked it from the first day,” Mkhitaryan told Sky Sport Italia.
“I am happy here, I like the team and the city. I believe we can win something with the Giallorossi. I had some offers from Italy and abroad, but I chose to remain and I’m pleased with that.”