Karşı çıkmarım var.

I have no objection.

Thank you

I believe you should use yok rather than var. Var is for having something. But you should use yok if you don´t have it. Even if this makes a double-negative, I think.

I´m not sure about the rest.

I think you can say:

Karşı çıkmıyorum - I am not opposing.

itirazım yok

Denizli and kedinero thank you