In AP I 'think' there are two methods.

1. M7M at least 40km from the red laser tower with another ship parked within transporter distance. While piloting the M7M shoot about 12 FBMs really quickly at the laser tower. Transport to the other ship and remote instruct the M7M to jump out of sector BEFORE the missiles hit the laser tower. If done correctly the tower will be destroyed and no other station will turn red. Who the eF destroyed my laser tower? No idea mate. And there you have it.

2. But I also think in AP if you have a good enough reputation with a race i.e. at least level five - which takes about 30 minutes...if there's a red laser tower in a sector call another ship to jump to the gate in an adjacent sector, Jump out and switch ships then fly back into the sector which had the red laser tower through the gate as normal. IME the red tower will now be blue/white. Summon your previous ship into the sector and transport back and it should remain blue/white.

BTW if any station is red search for station hacking at pirate bases within 3 sectors of the red station. But don't ignore 'white lamps' at other non-pirate stations the station hacking option can appear at any station - but most likely at a pirate base.
Not sure where the pirate bases are? Use CLS to generate waypoints 3 jumpgates from the red station (must be for a player-owned ship that you're NOT flying). Specify Spaceflies, max price, 1 unit. If there's any pirate base within three sectors it'll be shown on the list - then you have to find it in the sector - which can be difficult...

(1) That is what I thought would work too
Thanks.