Went back the next day and they were shut, long story short - they were shut for the next two days. I emailed them about coming to get it. They told me to come to another branch of the club and I could get it.
It was not there.
Three days letter, I got a message from some of my teaching friends, (the ones I was supposed to meet in Tirana) they were in Budapest.
I told them my jacket predicament, somehow the stars aligned and they managed to find the club, convey to the staff that they were there to find my jacket.
They told me they had to dig a bucket that had about 200 jackets in it. They found mine through a very vague description and concluded it was mine when they saw curly red hairs on it. Bravo to them, they were correct.
These wonderful people then took my jacket cross country, all the way to Bratislava for me, where we reunited (myself and the jacket.) As a trio we travelled on to Vienna to celebrate the birthday of one friend.
Trying to leave Vienna was my problem. More to come on that.