The Australian defender joined the Tayside club from Newcastle United for the rest of the season on deadline day and was slotted straight into Jackie McNamara's line-up for Saturday's clash with Partick Thistle at Firhill Stadium.
Good played a full 90 minutes alongside Tangerines youngster John Souttar in centre of defence but the visitors conceded late in the match after Farid El Alagui's 29th-minute opener.
United's defence was unable to deal properly with a Partick corner, allowing Gary Fraser to fire home a 75th-minute equaliser, to put a dampener on Good's otherwise solid Scottish Premier League debut.
The draw left the Terrors in fifth place on the SPL table while Thistle remained second bottom, equal on points with Ross County.
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