The decision will give Defense Secretary Jim Mattis the authority to send more forces into Syria, to assist US-backed local troops as they move to retake Raqqa from the Islamic State group.
The killing on Monday evening caused revulsion both in Thailand and around the world.
Eriksen struck in the 78th minute and Arsenal also left it late, Robert Huth`s 85th-minute own goal giving Arsene Wenger`s men a 1-0 win that left them four points off the Champions League places.
The loss is a disaster for Bayern`s coach Carlo Ancelotti following the Bavarian giants` Champions League quarter-final exit at the hands of Real Madrid.