"I'm excited to fit into this role and to get comfortable in it." Olsen told CBC News on Sunday.
"With any of these jobs that have high importance, the learning curve is big. I look forward to learning the job and doing the best I can to meet with people and to promote and introduce people to the Green Party."
Jane Sterk, who led the party for six years, announced earlier this month she would resign at the party's annual AGM this weekend.
Olsen, 37, is a member of the Tsartlip First Nation. He was born in Victoria and raised in Brentwood Bay. He is a partner in his family business, Salish Fusion Knitwear.
A date has not yet been set for when a new leader will be formally elected.