Right. Just like Russia wanted to leave Poland, Ukraine, the Baltics, Czechoslovakia, and Hungary. It was the west that forced them to stay.
Hungary is a different story, but then of course, the Hungarians established themselves as a communist republic in 1919 with no Russians in sight. This was actually put down by foreign intervention - Romanian invasion and guns, with strong support from England in the background. So you could say the Red Army was just restoring what had been taken away by foreign invasion in 1919.