Teague was dismissed from General Motors in 1952, and joined the Packard Motor Car Company as Chief Stylist, following John Reinhart's resignation. His first work there was a minor facelift on the Packard line for 1953, and when the Packard management under James J. Nance decided to re-launch the Clipper brand as a stand-alone make, separate from Packard, it was Teague who achieved the visual distinction between the two. He also designed several Packard show cars. These included the 1953 Balboa (whose canopied reverse-slant and lowering for ventilation rear window later appeared on the 1957 Mercury Turnpike Cruiser, 1958–1960 Lincoln Continental, and various Mercury models), the 1954 Panther, and contributed with William Schmidt to the 1955 Request, whose principal designer was Dick Macadam.