If your Dometic fridge "check" light is blinking you have a malfunction (I believe).
Here is the latest manual and it details the operation of the "check" light.
If you have a different manufacturer or model then forgive me as I am not familiar with your mode of operation or trouble codes.
Lou and Laura with Bella - German Short Hair Pointer
2008 GMC Sierra 2500HD Crewcab SB Allison Duramax
2010 Flagstaff 8526RLWS - Superglide 3300
HAM CALLSIGN - KC3FFW