According to an article in the Japan News, the answer is yes/possibly/probably.
Yoshitaka Hori - president of HoriPro, which wrote, owns and staged the show in Japan - has his sights firmly set upon a global market. Fully aware of the international appeal of Japanese manga, and the interest in Death Note particularly, HoriPro will be looking to sell the rights to the stage performance, rather than touring with the Japanese cast.
This would allow each country to stage a version of Death Note most relevant to their own audiences, in their own languages, with their own stars.
The initial queries are being made in Paris, as French audiences appear especially receptive right now. But that might take as long as ten years to complete.
So the game is on - which actors would you have play the lead characters in your own 'hood? Time to approach our national theatre companies with a firm YES THERE IS INTEREST HERE TOO!