The sunset sets to the right over the horizon of the sea if you are looking out to sea. It means that the lovely sunset is visible to everyone looking in that direction.
There is a long promenade where you can sit and relax in a bar with a beer to watch the sun go down. Indeed there is a water taxi from Fethiye to Calis which allows you to enjoy a short trip on the see as the sun disappears.
Fethiye Cruise Harbour
The waterfront from the Old Town heading along the coast is being expanded all the time. There is a promenade where people can stroll towards the end of the day or sit with a drink before finding a Fethiye restaurant for dinner. Sunset is a lovely time to do this.
Oludeniz Beach closes at night but that does not mean there are not places for those staying in Hisonaru or Oludeniz to enjoy the sun going down. This whole area is mountainous with some great vantage points over the sea, and the sun going down.
There are some roads on high looking across the harbour. The setting is even more beautiful with the red/orange/yellow sky of a sunset.