Bromley boss Andy Woodman told BBC Radio London:
"I'm delighted, it hasn't really sunk in. I've been here a few times and no one wants to speak to you when you lose.
"I was a bit disappointed with the goals we conceded, it was a bit unlike us, but I'll let them off because they got us across the line today.
"We've got heart, we're not the best team. We're the hardest grafting team and the most honest team, we've got players who will fight for each other and that showed today.
"I was alright with the penalties because I've got the best goalkeeper in the league, I knew he'd save one, maybe two and take care of business.
"I was really chuffed that Grant [Smith] got the plaudits he deserved because he's been brilliant for us all season.
"This has been an unhealthy obsession for me. It was about changing history at this football club and about making sure that when we're long gone, me my team and my staff, we'll be forever the people that got us in the Football League."
Bromley winger Louis Dennis told BBC Radio London:
“It sounds surreal [for Bromley to be an EFL club], I can’t believe it. But at the same time I know how hard everyone has worked for this moment and we managed to get it over the line on the day.
“It was always going to be a great way to win it and a horrible way to lose it but what a game that Solihull put up against us and I wish them all the best.
“We’ve always known that you have to graft all the way to the last kick of the game to get anything and that’s what we did today, so I’m over the moon.”
Solihull Moors boss Andy Whing told BBC Radio WM:
"Football can be really cruel at times, especially with the performance and effort the players had put in.
"Everyone associated with the football club can be proud of what they've done today going toe-to-toe with a big club who've been knocking on the door in this league.
"If you look at their support and ours, we were absolutely magnificent today.
"To come out the wrong side of a lottery penalty shootout is gutting. It's a tough dressing room to be in. We'll try and get the lads back up again for a big game next week."