The series of chemical reactions starting with zinc $Zn$ and ending with zinc chloride $ZnCl2$ involves the following steps:

Zinc reacts with oxygen in the air to form zinc oxide $ZnO$:
Zn + O2 → ZnO

Zinc oxide reacts with nitric acid $HNO3$ to form zinc nitrate $Zn(NO3)2$:
ZnO + 2HNO3 → Zn$NO3$2 + H2O

Zinc nitrate reacts with sodium hydroxide $NaOH$ to form zinc hydroxide $Zn(OH)2$:
Zn$NO3$2 + 2NaOH → Zn$OH$2 + 2NaNO3

Zinc hydroxide reacts with hydrochloric acid $HCl$ to form zinc chloride $ZnCl2$:
Zn$OH$2 + 2HCl → ZnCl2 + 2H2O

So, the overall reaction pathway is:
Zn → ZnO → Zn$NO3$2 → Zn$OH$2 → ZnCl2