  We stduy $L^p-L^r$ restriction estimates for algebraic varieties $V$ in the
case when restriction operators act on radial functions in the finite field
setting. We show that if the varieties $V$ lie in odd dimensional vector spaces
over finite fields, then the conjectured restriction estimates are possible for
all radial test functions. In addition, it is proved that if the varieties $V$
in even dimensions have few intersection points with the sphere of zero radius,
the same conclusion as in odd dimensional case can be also obtained.
