Is the X(3872) production cross section at sqrt[s]=1.96 TeV compatible with a Hadron molecule interpretation?

The X(3872) is universally accepted to be an exotic hadron. In this Letter, we assume that the X(3872) is a D(0)D(*0) molecule, as claimed by many authors, and attempt an estimate of its prompt production cross section at the Fermilab Tevatron. A comparison with Collider Detector at Fermilab data allows us to draw rather compelling quantitative conclusions about this statement.