He spent most of his professional career in Belgium, with Standard Liége, Anderlecht, Club Brugge, Sint-Truiden and White Star Bruxelles, and in Spain with Racing de Santander.
Tchité was born and brought up in Bujumbura, the largest city and capital of Burundi, but his parents hailed from neighbouring Rwanda and the Democratic Republic of the Congo.
He joined Prince Louis FC in 2001, winning the Burundi Premier League and the Revelation Footballer of the Year award, and also being the finalist in the Kagame Inter-Club Cup; in 2002 he left for Mukura Victory Sports in Rwanda, where he would be noticed by scouts from Belgium's Standard Liège.
On 31 August 2007, the last day of the summer transfer period, Racing de Santander announced the signing of Tchité in order to replace Valencia CF-bound Nikola Žigić.
Less than six months after his arrival, Georges Leekens was sacked and he did not seem to enter the plans of the new coach Juan Carlos Garrido, who was himself fired in September 2013, making way for Michel Preud'homme who also did not feature the player regularly, and the latter eventually became a free agent.