Google 'Ellingham diagram' for cobalt oxide. Take a look at (for example) Figure 1 (attached) from: Reduction of Cobalt Oxide (Co3O4) by Low Temperature Hydrogen Plasma December 2014 Plasma Chemistry and Plasma Processing 35(2):387-399 DOI: 10.1007/s11090-014-9602-9 Kali Charan Sabat, R. K. Paramguru, Srimay Pradhan, B. K. Mishra
You will note that the basic thermodynamics (Gibbs free energy) is not working for you at room temperature.
@ Emile The surface (5 - 10 atomic layers) of any material in air will be oxidized - easy to show with ESCA/XPS or Auger. I suspect for such small particles then the oxidation will be complete. We first showed this for Ag particles in the late-1970's where Ag is only present in the +1 oxidation state on the surface. My answer was more general in terms of bulk and thermodynamics.