Is free character transfer still available

[Saneko-ragnaros (Saneko)]

Alternatively it can also appear in the shop icon here:

WoW: Classic – Free Character Migrations

We recently announced that we would be activating Free Character Migrations for select high population Classic realms. It’s been a while since we’ve enabled Character Migrations like this, and we understand that there are bound to be some questions about how this process will work. Starting your Character Migration Unable to start the Free Character Migration While Free Character Migration is in progress Once your Free Character Migration has completed Freq…

But yes it depends upon the server load whether if it will appear or not. It can close down anytime though as is stated here:

Free Character Moves Coming for this Region - 20 September

Tomorrow, Friday, 20 September at 1:00 a.m. CEST, we will open the following Free Character Moves for realms in this region: FROM TO Ashbringer Bloodfang Ashbringer Dragonfang Ashbringer Earthshaker Ashbringer Judgement Dragon’s Call Heartstriker Dreadmist Bloodfang Dreadmist Dragonfang Dreadmist Earthshaker Dreadmist Judgement Firemaw Bloodfang Firemaw Dragonfang Firemaw Earthshaker Firemaw Judgement Flamelash Bloodfang Flamelash Dragonfang Flamelash Earth…