The Republic of Ireland international says his future at Ewood Park was out of his hands and that the whole scenario at the club since the Venky's takeover has not been ideal
The Irishman moved to the Hawthorns on a permanent deal from Blackburn on transfer deadline day after spending the first half of the season on loan at Ipswich Town.
He says the running of the club has not been ideal over the last year and has revealed that manager Steve Kean wanted rid of him last summer without letting him know.
"The way the club's been run since the owners have taken over, the whole scenario isn't ideal," he told reporters.
"I think anyone that is in it will tell you that it's a bit of a mish-mash.
"The budget has been restricted, there's players leaving left, right and centre. It's not an ideal scenario."
He added: "Things went on in the summer that I wasn't entirely happy with.
"I had a tough season last year with a fairly simple injury, where I ended up getting an infection from the operation.
"For one reason or another I didn't play a lot of football last year.
"It was taken out of my hands in the summer. They wanted rid of me without really consulting me, so from that point on I was keen to get away."
Andrews, who scored nine goals in 20 games for Ipswich this season, is in line to make his West Brom debut against Swansea City on Saturday.