  We report the growth and characterization of single crystals of iron
chalcogenide superconductor FeCr$_{0.02}$Se. There is an enhancement of the
superconducting transition temperature (T$_{\rm c}$) as compared to the T$_{\rm
c}$ of the single crystals of the parent compound Fe$_{1+x}$Se by about 25%.
The superconducting parameters such as the critical fields, coherence length,
penetration depth and the Ginzburg-Landau parameter have been estimated for
these single crystals. Analysis of the critical current data suggests a
fluctuation in electronic mean free path induced ($\delta l$) pinning mechanism
in this material. Thermally activated transport across the superconducting
transition in the presence of external magnetic fields suggests a crossover
from a single vortex pinning regime at low fields to a collective flux creep
regime at higher magnetic fields. The nature of charge carriers in the normal
state estimated from the Hall effect and thermal transport measurements could
provide crucial information on the mechanism of superconductivity in Fe-based
materials.
