Copper atoms and molecules are laser ablated into bulk liquid and solid helium, and the emission spectra of the laser excited D→X, B→X, and a→X transitions of Cu(2) are observed to exhibit clearly resolved vibrational bands. Surprisingly, for the D→X and the B→X transitions, no differences were observed for superfluid He at 1.5 K, for the normal liquid at 2.65 K, or for the 1.5 K solid at higher pressures of about 30 bars. An interpretation based on the bubble model indicates that the interaction with the He matrix is much weaker than in the case of the alkali atoms. Compared to other solid rare gas matrices, the line shifts and line widths in condensed helium are much smaller by nearly an order of magnitude.