Do you know if this is chrome or veg tanned leather? If it’s chrome I wouldn’t use the laser cutter as it will release some pretty nasty chemicals.
Personally. I would suggest using the laser cutter to cut some templates to cut around out of acrylic.
However if you prefer to cut straight onto leather it will cut it in the laser but it skin has it’s own individual character 1mm lamb skin wont cut the same as 1mm cow hide. So will have to have a play. Trotec has ome sample settings here https://www.troteclaser.com/en-gb/knowledge/do-it-yourself-samples/. You can also have a look under my name in laser settings to create your own cutting speeds and power.
It might also be worth cutting under a flat piece of wood with leather taped to it to avoid uneven cutting.
Your welcome to drop me a message. If you need more guidence.