What does ATC mean when they refer to "company"?
Generally when used in ATC movement instructions the word "company" means "The other aircraft operated by your company".
In this context it's a convenient shorthand for controllers and pilots: If two aircraft from the same operator are going to the same place on the airport (one may be told "Follow company"), or to assist with visual separation and sequencing on approaches.

In other cases it can mean "the airline (company) you work for" (such as being instructed to taxi to a ramp and "call company for your gate assignment" - the distinction is made based on the context of the request or instruction).



Note that this is not standard phraseology: despite being widely used the term company does not appear in the pilot/controller glossary or the Air Traffic Controller's Handbook .