The Arrows A1 was the car with which Arrows Grand Prix International competed in the 1978 and 1979 Formula One seasons. It replaced the Arrows FA1, which was banned by the London High Court on 31 July 1978 after a legal protest from the Shadow team on the grounds that it was a carbon-copy of the Shadow DN9. Arrows anticipated that they would lose against Shadow and designed and built the A1 in under 60 days whilst the court case was being heard. Hence Arrows were able to present the Arrows A1 to the press just three days after the court case ended and did not miss any races.

Tony Southgate is an English engineer and former racing car designer. He designed many successful cars, including Jaguar's Le Mans-winning XJR-9, and cars for almost every type of circuit racing. He was responsible for the chassis design of Ford's RS200 Group B rally car. Southgate was employed as chief designer or technical director for many Formula One teams for over twenty years. These teams included BRM, Shadow and Arrows. Southgate retired after producing the Audi R8C, which was a major influence in the Bentley Speed 8, which won Le Mans in 2003. He continues to be a regular visitor to current and historic race meetings.