He declined to comment on a timeline for the listing or how much the firm planned to raise.
Citing an unnamed sourced, Bloomberg News reported Thursday that Lion - which has postponed a public listing several times in the past - could raise as much as $1.0 billion.
That would make it Indonesia's third-biggest IPO on record, according to Bloomberg data.
Last month, Lion said it suffered a data leak that reportedly affected millions of customers.
Two of the airline's subsidiaries, Malaysia-based Malindo Air and Thai Lion Air, acknowledged passenger data may have been stolen from remote servers operated by Amazon.
All 189 people aboard a Lion-operated Boeing 737 MAX vanished from radar about 13 minutes after taking off from Jakarta last October, slamming into the Java Sea moments after pilots had asked to return to the capital.