Step 1: Given standard electrode potentials:
\[
E^\circ_{Zn^{2+}/Zn}=-0.76\,V
\]
\[
E^\circ_{Cu^{2+}/Cu}=+0.34\,V
\]
\[
E^\circ_{Ag^+/Ag}=+0.80\,V
\]
Step 2: A metal with lower reduction potential has greater tendency to get oxidized.
Step 3: Zinc has the lowest reduction potential, so zinc is the strongest reducing agent among the given metals.
Step 4: A reducing agent reduces other ions and itself gets oxidized.
Step 5: Therefore, zinc can reduce:
\[
Ag^+ \rightarrow Ag
\]
and
\[
Cu^{2+} \rightarrow Cu
\]
\[
\boxed{\text{Zn can reduce \(Ag^+\) and \(Cu^{2+}\)}}
\]