Alexander Skarsgard: 'The East' Poster!

Alexander Skarsgard keeps it cool while arriving at LAX Airport for a departing flight on Friday (March 15) in Los Angeles.

The 36-year-old actor took the time to sign his autograph for an awaiting fan while heading to his terminal.

PHOTOS: Check out the latest pics of Alexander Skarsgard

Earlier in the week, Alexander was spotted grabbing some lunch with his friends in Los Feliz.

Check out the newly released poster for Alexander‘s upcoming film The East, which is scheduled to premiere tomorrow at the 2013 SXSW Film Festival.