Chibsah started his career at Kumasi based
King Faisal in his home country, and in 2003 moved to
Asante Kotoko where all his years had a key midfielder role. With Kotoko met up with great moments as he played at the first
CAF Confederation Cup in 2004 winning the silver medal as the runners up to
Hearts of Oak and also in the
CAF Champions League in 2006. After the 2006 World Cup, he was invited by French
Ligue 1 club
Rennes for a trial but could not meet the deadline for the summer registration. He had trials also with
Hamburger SV and
Djurgårdens IF in January 2006 following preseason in South Africa. In his first attempt to move outside Ghana he signed a pre-contract with
Finnish IFK Mariehamn, but with Kotoko asking for more money was never eligible to play for them. In the 2006/07 season he played for Asanta Kotoko FC in Ghana and later on came close to sign for Danish side
Randers FC but eventually signed in October 2007 a two-year contract with Swedish
Allsvenskan club
Gefle IF under manager
Per Olsson. When his contract ended and despite interest from 2nd division Bundesliga club he renew for 2 more year with
Gefle IF. Prior to the 2012 season he returned to
Djurgårdens IF and signed a contract with the club. On 21 January 2014 it was announced that Chibsah switch shirtnumber from 4 to 17. ==International==