Afobe, who moved to the Vitality Stadium from Wolverhampton Wanderers in January, took his Premier League goals tally to four in eight matches against Southampton in Tuesday's South Coast derby.
The former Arsenal striker put the game to bed late in the second half, heading team's second from a Matt Ritchie free-kick.
Afobe has been capped twice by England's Under-21s, but admitted last month he would consider an approach from the Democratic Republic of Congo, for whom he qualifies through his parents, as reported by Sky Sports.
But as far as Francis is concerned, a phonecall from Roy Hodgson could be on the horizon.
Asked if Afobe could follow the likes of Jamie Vardy into the Three Lions' set up, Francis told talkSPORT: "I do personally. Callum Wilson was on the verge, or I think he would have probably been called up at the start of the season if he hadn’t got injured.
"It shows how far the club have come really, that we can bring in the quality of players that we can do and I think Benik is in that category definitely.
"If he keeps scoring goals it’s be hard to not notice that."
After a string of unsuccessful loan spells, Afobe's career finally took off at Milton Keynes Dons two seasons ago and the 23-year-old hasn't looked back, scoring 46 goals since then.
Wilson, who was Bournemouth’s top scorer last season with 23, hit five in his first seven top-flight outings before being struck down at Stoke in September.