Former world number one Lee has dropped to 30th on the latest World Federation (BWF) rankings after not featuring on the world tour since he tested positive for banned substance dexamethasone during the World Championships in Copenhagen last August.
"Chong Wei will have to compete in all Super Series events and we (BAM) are actually appealing to see whether we can get his name into the Australia Open (May 26-31)," Hansen told representatives from the media at the BAM offices in Bukit Kiara on Tuesday.
"The dateline is over but we can get him into the tournament. If we did not manage to get him to play in the Indonesian Open (June 2-7) or Australia Open, we are considering the US Open (June 16-21)."
Frost added that BAM will push Lee to gain as many ranking points as possible in an attempt to regain the world number one ranking.
Lee is expected to head the Malaysian contingent at the May 10 to 17 Sudirman Cup as well as the SEA Games in Singapore a month later.
The 32-year-old was given an eight-month backdated suspension on Monday after contravening doping regulations, which allows him to resume his badminton career on May 1.