Tsinga, a striker for Akanda FC, collapsed in the 23rd minute of the match with Missile FC on Saturday, The Union daily newspaper reported.
The 30-year-old received a cardiac massage by a military doctor but died on his way to hospital.
An amateur video posted on Twitter showed the confused reaction after Tsinga collapsed on the edge of the centre circle.
According to The Union, neither of the two ambulances at the scene had the defibrillator or oxygen mask necessary "to save the life of the player".
The death was the seventh in 12 years in Gabonese football, The Union said.
Gabon National Oil-Foot mourning. Akanda FC player Herman Tsinga who died upon his transfer to Owendo CHU after collapsing on the pitch a few seconds after an aerial duel in the 23rd minute of the game against Missile FC in the stage of the INJS. RIP pic.twitter.com/B2dnFu1t3K— Collins Okinyo (@bedjosessien) March 3, 2019