The 31-year old well-traveled Englishman will saddle up with the 'Well for the remainder of the Scottish Premier League season and is confident he will enjoy more success than he did at Ibrox back in 2005 when he made 14 appearances for no goals.
"Wherever you go, you want to make the right impact and I didn't play my best football at Rangers," Jeffers told BBC Scotland.
"But I don't lose belief in my ability and I'll show the Motherwell fans I'm a good player."
Former Everton striker Jeffers spent a couple of months in Australia with A-League club Newcastle Jets before returning home and admitted he jumped at the chance to come abck to Scotland. He also said it will be nice to play under Stuart McCall who was a star for the Toffees in the late 1980s and early 90s.
"My agent rang me and said Motherwell might be interested. I said 'of course, I would'," he added.
"It'll be good working with the manager. He played in the Everton team full of my heroes.
"I'm a good footballer. I hope I can help lads here on and off the pitch - and the experience I've had throughout my career can hopefully rub off.
"I'm a winner and, even when I was young lad, being in a winning team was always more important than scoring goals for me."
To check out Jeffers' interview with tribalfootball.com back in December, click the following link - http://www.tribalfootball.com/tribaltv/francis-jeffers-former-arsenal-and-england-striker