Keatings, who made his Olympic debut at Beijing 2008, was overlooked for London 2012 last summer as an injury to his ankle ligaments suffered in April that year hampered his chances.
Recent knee and ankle injuries also meant a reduced programme at the British Gymnastics Championships in Liverpool at the weekend however he still enjoyed much success.
His injuries meant he left out the vault, floor and rings however he won the senior titles on the pommel horse, parallel bars and high bar with two further wins in the masters competition.
And Hall, who was Britain's men's coach at London 2012, overseeing team bronze and Louis Smith's pommel horse silver and Max Whitlock's bronze, wants Keatings to earn international recognition.
Keatings became the first British gymnast to win an all-around medal at a worlds with silver in 2009 and Hall said: "I'm very pleased with Dan; it was nice to see him back on the podium.
"He has got three titles from the senior events and two from the masters so he had a good weekend so I hope they will consider him for selection for the European Championships coming up.
"And if he can stay fit then maybe the World Championships to get him back on the road for his career."
© Sportsbeat 2013