The electrode A is a cathode. This is because it is negatively charged electrode and it attracts cations, or we can say it is positively charged.
The reaction occurs at the cathode
Zn2+ +2e⇒Zn
Anode reaction is
2CL- ⇒CL2+2e-
The overall reaction will be Zncl2(l) which completely disassociates then it is zn∧2+(l)+2cl∧-(l).