After checking on Panama Canal system, booking slots for LNG remains as follow:
From Nov. 23rd to Nov. 26th:
No space available
Nov. 27th, 2017
1 space available for an LNG or any other Neo Panamax
Southbound direction
From Nov. 28th to Nov. 30th
No Space available
From Dec. 01st to Dec. 31st 2017
No space available
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Alternatively to look/find booking slots available on daily basis, you can access below link (this web page is updated by Panama Canal Authorities every 30-60 minutes AGW):