Emergency services say they have been made aware of the animal's discovery.
Several roads along the island's coast have had their limits decreased by 10mph until 30 September.
Guernsey Fire and Rescue say the fire is likely due to a disposable barbeque or cigarette butts.
Dog owners who fail to pick up after their pet risk a £100 fine, the States warns.
The parrot could be adopted if its owners do not come forward.