If Orthodox Jews can find a way to slaughter animals that meet both State and Jewish law I am sure Muslim can find a way as well.
From what I can find, animal sacrifice could only take place in the Holy Temple in Jerusalem, which was destroyed in 70 AD; so no such activity since then. Even in Jesus’ time, prayer and repentence were considered more important than animal sacrifice to the Jewish people.
Some religions get it about true sacrifice, some don’t.