Bruce Willis was set to reprise his role of Mr. Church, at a salary of $3 million ($750,000 per day for four consecutive days). When he demanded $1 million per day instead, Sylvester Stallone and the producers refused, and he left the film. Within three days, Stallone was able to get Harrison Ford to replace the Church role as a new character. Ford's "short notice" quip, as used in the trailer, alludes to these events (which were well publicized long before the film premiered).
While shooting an action scene in a truck, Jason Statham almost drowned when the truck fell into the sea after brakes failed.
As his character in the film, Harrison Ford is a skilled pilot in real life. In fact, Ford has conducted some search-and-rescue missions, just like his character does in the film.
When he is asked about the whereabouts of Church (portrayed by Bruce Willis in the two previous films), Max Drummer (Harrison Ford) answers that "He's out of the picture." This is an in-joke about the fact that Willis' character was written out of the film and replaced with Ford's character.