There is nothing wrong with slaughtering an animal with the left hand.
The scholars of the Permanent Committee for Ifta’ were asked:
One day, I decided to make a waleemah (feast), and I brought a cook to make food for my guests. I was startled to see that cook slaughtering the animal with his left hand, whilst saying Bismillah and reciting the takbeer that is enjoined according to Islamic teachings: “Bismillahi wa Allahu akbar (In the name of Allah and Allah is most great).” I shouted at him: “No, not like that!” And he said to me: “I asked permission from the shaykhs and they gave me permission to slaughter with my left hand.”
They replied: There is nothing wrong with that, but slaughtering with the right hand is better, if that is possible.
End quote.
Fataawa al-Lajnah ad-Daa’imah (22/474-475).
And Allah knows best.