Razanakolona was born in Quebec, Canada; his mother was Canadian but his father was from Madagascar.[3] He and his brother Philippe sought to bring international attention to the African island nation of Madagascar by having Mathieu become the first person to represent the country at the Winter Olympics. While Mathieu competed in the skiing, Philippe ran the non-profit organisation rAzAlpin.org to support this.[4] Prior to the Turin Games, Mathieu had competed in a single FIS Alpine Ski World Cup event in Schladming, Austria, where he was disqualified after straddling a gate.[2]
Competing in the giant slalom on 20 February, he finished his first run in a time of one minute and 39.1 seconds, placing him in 43rd place out of the 47 skiers who completed the run.[8] His second run of the day saw an improvement in both time and placement, finishing in 31st place with a time of one minute and 27.33 seconds.[9] This placed him in 39th place overall, with a combined time of three minutes and 6.43 seconds, only ahead of China'sLi Guangxu and Ivan Borisov of Kyrgyzstan.[10] However, his slalom competition was not as successful, as he failed to finish his first run, thus eliminating himself from the competition.[11]