SLC has not named the cricketer but according to ESPN Cricinfo, the concerned player was 21-year old opening batsman Ramith Rambukwella.
"...Sri Lanka Cricket wishes to announce that it is disappointed to hear of such an incident and SLC will discuss with the Manager of Sri Lanka 'A' Team. An inquiry will be conducted based on the Manager's report and disciplinary action will be taken on the player concerned if found guilty," a SLC statement said.
The Sri Lanka A team was on a tour of the West Indies playing two four-day 'Tests' and 50-over and Twenty20 internationals.
ESPNcricinfo revealed the name of the players on their twitter page.
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"SLC names Ramith Rambukwella as the Sri Lanka A player who mistook the airplane exit as a toilet door "due to the dim lights in the cabin"," the tweet said.
Later, former Sri Lankan player Russel Arnold also tweeted, saying that the young cricketer had realised his mistake and apologised.