The Japanese company's shares were up 3.2% in early trading, after losing 11% this week and more than 80% over the past 12 months.
Takata inflators have been linked to 11 deaths and more than 100 injuries.
Japan's benchmark Nikkei 225 index rose by 1.5% to 16,804.73 points.
Traders picked up a strong lead from Wall Street and were also buoyed by hopes that the weaker yen would be good for business.
China's mainland benchmark Shanghai Composite rose by 0.3% to 2,841.61 points while Hong Kong's Hang Seng traded flat at 20,260.60 points.
In Australia, the ASX/200 was up 1% to 5,393.50 points with energy stocks benefitting from a slight rebound in oil prices.
South Korea's benchmark Kospi index went against the regional trend and lost 0.3% to 1,976.21.
Takata shares recovered slightly ahead of Wednesday's earnings report after a warning earlier in the week over its airbag recalls saw them tumble.