The Kumasi giants' bus rammed into a stationary truck at Nkawkaw on their way to Kumasi following a 1-0 defeat to Inter Allies in the Ghana Premier League matchday 22.
Equipment officer Thomas Obeng Asare lost his life while several others including head coach Steve Polack, assistant coach Godwin Ablordey as well as players like Baba Mahama and Michael Akuffo sustained injuries.
“The players should be given some psychological support by the club after that accident in Nkawkaw," Kingston told GHOne TV.
"A psychologist should be brought on board to help the players recover from the incident. I am extremely inspired by the massive support from Ghanaian clubs towards Kumasi Asante Kotoko after their unfortunate news,” he added.
Meanwhile, Kotoko communications director, Obed Acheampong has revealed that doctors believe the victims will need more time to recuperate from the accident after review.
"After a re-examination of victims of Wednesday's accident, the medical team has reported that all the players and officials are [still] in pain," Acheampong said.
"Aside taking their medication, the medical team has advised the victims to rest for one week after which there will be another examination.
"Re-examination of all the victims will be conducted a week later to ascertain their psychological and physical well being.
The medical team says they will know when the players will be fit to play after next week's examination," he added.
Kotoko's game against fierce rivals Hearts of Oak at the Baba Yara Sports Stadium has been postponed indefinitely and the away game against Wafa is also likely to be called off.