The offer to Strief, a backup offensive tackle, means the Saints would receive a second-round draft pick as compensation if he signs with another team.
"Zach is quite happy in New Orleans," said his agent, Ralph Cindrich. "He loves the city, loves his teammates and would be happy playing out his career there. but it all depends on the market right now."
Cindrich said nothing will happen until the free-agency period opens Friday, but he said Strief might receive offers then.
All four restricted free agents are free to seek offers from other teams in free agency beginning Friday. By tendering contract offers to them, the Saints reserve the right to match any deals the players sign with other teams.
Copyright 2009 by The Associated Press