Goals came from Owen Dale, Jordan Lawrence-Gabriel and Marvin Ekpiteta at Bloomfield Road on Tuesday night.
The Seasiders will now travel to the City Ground to take on Nottingham Forest in the third round on January 7.
Here’s some of the best fan photos from the game against Forest Green:
1. Blackpool fans
Seasiders fans enjoyed the victory over Forest Green Rovers. Photo: CameraSport - Alex Dodd
2. Blackpool fans
Seasiders fans enjoyed the victory over Forest Green Rovers. Photo: CameraSport - Alex Dodd
3. Seasiders in action
Blackpool claimed a 3-0 victory over Forest Green. Photo: CameraSport - Alex Dodd
4. Blackpool fans
Seasiders fans enjoyed the victory over Forest Green Rovers. Photo: CameraSport - Alex Dodd
5. Blackpool fans
Seasiders fans enjoyed the victory over Forest Green Rovers. Photo: CameraSport - Alex Dodd
6. Seasiders in action
Blackpool claimed a 3-0 victory over Forest Green. Photo: CameraSport - Alex Dodd