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(Abridged) The Euclid mission is expected to discover thousands of z>6galaxies in three Deep Fields, which together will cover a ~40 deg2 area.However, the limited number of Euclid bands and availability of ancillary datacould make the identification of z>6 galaxies challenging. In this work, weassess the degree of contamination by intermediate-redshift galaxies (z=1-5.8)expected for z>6 galaxies within the Euclid Deep Survey. This study is based on~176,000 real galaxies at z=1-8 in a ~0.7 deg2 area selected from theUltraVISTA ultra-deep survey, and ~96,000 mock galaxies with 25.3$\leq$H<27.0,which altogether cover the range of magnitudes to be probed in the Euclid DeepSurvey. We simulate Euclid and ancillary photometry from the fiducial, 28-bandphotometry, and fit spectral energy distributions (SEDs) to variouscombinations of these simulated data. Our study demonstrates that identifyingz>6 with Euclid data alone will be very effective, with a z>6 recovery of91(88)% for bright (faint) galaxies. For the UltraVISTA-like bright sample, thepercentage of z=1-5.8 contaminants amongst apparent z>6 galaxies as observedwith Euclid alone is 18%, which is reduced to 4(13)% by including ultra-deepRubin (Spitzer) photometry. Conversely, for the faint mock sample, thecontamination fraction with Euclid alone is considerably higher at 39%, andminimized to 7% when including ultra-deep Rubin data. For UltraVISTA-likebright galaxies, we find that Euclid (I-Y)>2.8 and (Y-J)<1.4 colour criteriacan separate contaminants from true z>6 galaxies, although these are applicableto only 54% of the contaminants, as many have unconstrained (I-Y) colours. Inthe most optimistic scenario, these cuts reduce the contamination fraction to1% whilst preserving 81% of the fiducial z>6 sample. For the faint mock sample,colour cuts are infeasible.

Euclid preparation. XXI. Intermediate-redshift contaminants in the search for $z>6$ galaxies within the Euclid Deep Survey