Andrews has impressed in his first season in senior management with the Bees.
Ahead of Monday night's clash, Edwards said: "He's done a brilliant job, he should be really proud and I'm sure he will be.
"He doesn't need me to say it, but I will do. There's loads of people that will be speaking really positively about him and he's certainly one of the candidates for the Manager of the Year.
"There would have been one or two questions raised at the beginning when he got the job, but he would have had total belief in himself and he's really quickly justified that.
"He's done an amazing job, him and his staff, the players. I think it's testament to the whole football club as well and the way they go about the business.
"They lose big players and they can carry on being really competitive and keep improving.
"They lose a really big manager and then replace him with Keith and they continue to grow and go from strength to strength.
"It doesn't surprise me. he's a really intelligent guy, he's very astute.
"He always has been and he communicates very well.
"He's got all the qualities needed to be a top manager and he's showing that."