The suspension reportedly stemmed from a verbal conflict that Brickles had with another district employee.
Brickles could not be reached and neither his lawyers nor administrators returned calls seeking comment.
Brickles is seeking damages in excess of $25,000, according to the complaint.
The January complaint is the second lawsuit leveled against the district by a teacher in less than a month.
On Dec. 21, former assistant football coach Tad Steinbrink filed a lawsuit seeking unspecified damages, claiming defamation and slander.
Steinbrink claims administrators improperly handled a probe into allegations against him and failed to follow district policies, according to court documents.
He and former head coach Tim Hale were dismissed from their positions in 2009 after being accused of harassing two players on the team.
Contact this reporter at (937) 328-0360 or vlough@coxohio.com.