Visiting the Carthaginian ancient battle field in Tunisia, Patton says, "The Arab women stripped the dead soldiers of their clothing." There were no Arabs in Tunisia during the Punic wars. The line is complete fiction, obviously intended to draw parallelism between the ancient Carthaginians and Patton's troops in the first shot of the movie (who were not scavenged by Tunisian civilians in real life either).
The scene, where General Fredendall jumps into his jeep after being relieved of his command of II Corps by Gen. Patton, the camera shows two GI's replacing the two star I.D. plates in the front of Patton's vehicle with a 3-star I.D. plate after he self-promoted himself in advance of receiving Senate confirmation. In the next scene shows Patton and Bradley heading toward the battle front on Patton's vehicle until he orders his driver to turn right to head for Carthagenian ruins. It shows that vehicle still had the 2-star I.D. plate that was replaced in the earlier scene.
Crew or equipment visible
Errors in geography
In the war strategy for the Sicilian invasion, Patton says that the ancient Greek general, Alcibiades, knew that in order to invade the Italian peninsula, you do it via Sicily. Patton said that it was a no-brainer for "old Alcibiades." The Athenian general, however, was not interested in attacking the Italian peninsula -- he never did -- but only was to invade Sicily itself -- and he failed failed miserably. This would not have been an inspiring argument for the Allies to invade Sicily in WWII.
Contrary to the way it's portrayed in the film, the controversy over George S. Patton's Knutsford speech was not over his having insulted the Russians (in fact, the Army quickly revised the initial transcript of his remarks to reflect that he had mentioned them). It had to do with his talk of "ruling the world" after the war - members of Congress said he had no business as a general commenting on post-war political affairs, while others objected to the notion of the US, Britain or anyone else "ruling the world."
The packaging for the 2001 DVD release states that the film won eight Oscars. It really only won seven. Other than Best Picture and Best Actor, there is no mention of the categories won on the packaging, so there is no way to know what 20th Century-Fox Home Entertainment considers the eighth Oscar to be.
When briefing Patton on the defeat at Kasserine Pass, General Bradley describes the caliber of guns used by both sides. The DVD subtitles appear as ".75" and ".88", as if Bradley was giving the caliber of a small arm (I.e. .45 cal, .30 cal). The guns Bradley is referring to are in fact field pieces and the number he is giving is in millimeters. There shouldn't be a decimal point.
Incorrectly regarded as goofs
During the discussion with the British Leadership prior to the invasion of Sicily (where Patton advocates his army land at Syracuse), Patton and his staff are wearing the shoulder patch of the I (1st) Armored CORPS (with Roman numeral I, NOT the 1st Armored DIVISION which has an Arabic numeral 1), which Patton commanded in the US and was redesignated the Western Task Force for the North African landings. The organization reverted briefly to its original designation and insignia of I Armored Corps during the period between the Battle of El Guettar and the invasion of Sicily when this scene takes place, with Patton resuming command and passing command of II Corps to General Bradley; I Armored Corps was then redesignated the 7th Army for the Sicily Campaign with II Corps being incorporated into it. Rather than being a goof, this a highly accurate attention to detail. (Also, Patton never replaced the original I Armored Corps patch from his sheepskin jacket as seen in later scenes during the Battle of the Bulge, probably because removal of the patch would have exposed the stitch holes and compromised the leather.)
Patton is shown having read a book, "The Tank in Attack", by his adversary, Erwin Rommel. The book "Panzer greift an" was however never finished by Rommel. Most of what was to be in "The Tank in Attack" can be found in the book The Rommel Papers, which is made from notes and diary entries by Field Marshal Rommel during the Africa campaign.