Jewell left the Hawthorns earlier this week but Francis, who Pulis has always rated highly, will be staying with the club.
And the West Brom boss is excited about what Francis will bring to the Baggies.
His analysis of games and experience are two factors in particular the Welshman values.
"Gerry was always joining us. He's been with me for seven years, Kempy (Dave Kemp) for 13 and they were always coming. Gerry brings a wealth of experience," Pulis told reporters.
"His analysis of games and experience of the Premier League is absolutely first class. It's a part-time basis but very important, there was never any question of him not coming."
Jewell was joint-assistant coach at West Brom but left on Tuesday only a week after joining the club as part of Pulis's backroom staff. He left after Francis's appointment as a part-time consultant and is reportedly considering legal advice after his exit.
Pulis, though, says there are no hard feelings from him or West Brom as a club and has wished Jewell all the best.
"I wish Paul all the best, I still think he's a great lad. Good luck to him. There's no hard feelings my way or the club's way. To go any further into it would be wrong. He's a smashing lad," he added.
The Baggies travel to Everton on Monday for their next Premier League clash.