Mr Tate had received messages of support and visits from a wide range of people including the sheriff's department in Waushara County, Wisconsin, local politicians and the Police Commissioner Peter Marshall.
Mr Tate and his partner, Constable Lisa Ross, wished to thank the public, the police and hospital staff for their support.
"We've been well supported by everyone this week and we're really thankful that Simon is recovering well," Ms Ross said.
Mr Tate was attacked from behind while performing a routine vehicle stop. Continuous blows rendered him unconscious on the ground, at which point his attacker continued the assault.
Walter George Tauatevalu, 36, has been charged with attempted murder and two charges of male assaults female in connection with the incident.