He has been appointed as the new head coach of Sweden on an initial short-term basis.
His deal covers the current qualifying period and what the Swedish FA describe as “a potential play-off in March”
The agreement will be automatically extended if Sweden qualify.
Potter was recently sacked by West Ham, departing along with former Albion colleagues Bruno, Billy Reid and Casper Ankergen.
There was no mention of his back-up team in the announcement by Sweden.
Bjorn Hamberg, the Swedish coach who was with him at Ostersunds, Swansea, Albion and Chelsea, left the team to take up a role at Feyenoord.
Hamberg is now in charge of Albion under-18s and appears focused on a career as his own man as head coach.
While Sweden are making plans for a play-off, Porter faces a huge task to get them there after they took just one point from their first four games.
They need to make up six points over the final two fixtures, away to Switzerland and at home to Slovenia.
“I am very humbled by the assignment, but also incredibly inspired,” Potter told the Swedish FA website.
“Sweden has fantastic players who deliver in the world’s best leagues during the week. My job will be to create the conditions so that we as a team deliver at the highest level to take Sweden to the World Cup next summer.”
Potter spoke last week of his ongoing affection for Sweden, where he coached Ostersunds with great success.
He was in Hove recently but was at his house in Sweden as wheels for his role were set in motion.
Swedish FA football director Kim Kallstrom, a former international player himself, added: “It feels very good that Graham is coming in as the national coach for the men’s national team.
“We are all aware of the situation we are in and believe that with his leadership skills he will bring the team together in a good way.
“He is tactically skilled at creating conditions to win matches and has an ability to identify players’ strengths and how they interact in the best way.”