Price was put on paid leave Wednesday in the aftermath of the May 21 Tasing of autistic 18-year-old Clifford Grevemberg by Tybee officers.
"Price has been a good chief," Randy Thran, who has lived on the island for 17 years, said Thursday evening.
Mayor Jason Buelterman came outside and talked with the residents, telling them the Tybee City Council was not going to take any action regarding Price during the regular weekly meeting.
Regarding Price's suspension, Buelterman reminded residents they voted in years past to have a city manager form of government. Under that type of government, he said, the city manager has the power to make personnel decisions.
"The bottom line is that Tybee is a small community," Buelterman said. "Any time you make a decision dealing with personnel, it is going to hit a nerve."
Many of the residents who showed up to support Price said they found out about the gathering on the social networking website Facebook. A page has been created on the site called "Tybee Island Supports Chief Jimmy Price and the Tybee PD." By late Thursday, about 200 people had joined.
Price's suspension was not discussed during the regular meeting, although the council did later go into executive session to discuss personnel matters.
However, no vote was taken following the closed-door discussion.