[DTLB58]

From BobGretz.com:

There are two types of designations: the exclusive rights franchise tag, and non-exclusive rights franchise tag:

An “exclusive” franchise player must be offered a one-year contract equal to an amount no less than the average of the top five salaries at the player’s position over the last five seasons or 120 percent of the player’s previous year’s salary, whichever is greater. Exclusive franchise players cannot negotiate with other teams.

A “non-exclusive” franchise player must be offered a one-year contract for an amount no less than the average of the top five salaries at the player’s position over the last five seasons, or 120 percent of the player’s previous year’s salary, whichever is greater. He may negotiate with other NFL teams, but if he signs an offer sheet, the original team has the right to match terms of that offer. If it does not match the offer, the club received two first-round draft picks as compensation.

Obviously the teams designate which they are using, and the Saints did not say hey everyone is allowed to negotiate with our franchise QB.