During the race your mechanic Jeff will sometimes advise a new strategy and offer you the option to change to it (this is usually to change tyres or to come into the pits earlier than planned).
To change strategy, hit LB and scroll down to the new strategy, pushing right on the D-PAD will confirm this. Should you do this whilst the Safety Car is out on track and make the pit stop you will see this achievement pop.
I unlocked this in Season One with the McLaren at Sepang (Malaysia).