The attacker has signed on loan from League Two Stevenage.
Goddard secured a Football League move to Swindon on the back of some great performances for Woking two years ago and now he has back in the league looking for game time.
Bromley have yet to taste victory in four and Smith has been critical of his team’s inability to kills sides off.
On Saturday they face Gateshead and Hayes Lane and their new boy could be involved.
Smith told the club’s official website: “He’s a very, very good player. He’s just had his first training session and it’s clear to see he’s a very talented lad.
“He’s comfortable in possession, capable of scoring goals, and can hopefully link up the midfield and forward line.
“It’s a great acquisition for the club and he’s coming in as a hungry player, who’s keen to show everyone what he can do.”