The England international has been allowed to leave Anfield at the end of his contract.
He has endured a few tough years on Merseyside through a combination of unfortunate injuries and fierce competition for places.
Sturridge is, however, a proven goalscorer at the highest level and is still only 29 years of age.
He is considered to still have plenty of Premier League football left in him, with a former top-flight frontman talking up his claims to joining another ambitious side as a free agent.
Ex-Palace striker Morrison told talkSPORT: “I believe Daniel Sturridge is still good enough to play in the Premier League. He’s got great technical ability.
“Before all of his injuries, for me personally, I think he was the best English striker in the county. I thought he was better than Harry Kane.
“He’s the most naturally-gifted finisher I’ve seen. He’s the most natural finisher in the Liverpool team, but you just can’t get him in that team because of the work-rate of Mane, Firmino and Salah.
“He’s had a lot of injuries, but I think he’d be a great addition for most Premier League teams.
“Maybe not in the top three or four, maybe not for Liverpool or Manchester City, but he could go to a team like Arsenal.
“I would love my old club Crystal Palace to get him and Leicester could be a good shout – he and Brendan Rodgers work well together.
“Rangers could work too, maybe Steven Gerrard could get the best out of him, but I think he will want to stay in the Premier League.
“I don’t think Daniel Sturridge is money orientated, he was earning a lot of money at Liverpool and that could have set him up for the rest of his career.
“He’ll want to go to a club where he’s playing week-in, week-out, and I still think he can do a great job in the Premier League.
“The big question with him will always be, how fit is he going to be? But mentally he’s in a good place at the moment a fit and hungry Daniel Sturridge is an asset for any team.
“As a striker, all you want to do is score goals, that’s all you live to do, and if you can get 30 games out of Sturridge for the whole season, then you’ve got one hell of a player.
“He’ll be fit, flying, he’ll have a point to prove and nobody has to pay a fee for him.”
Sturridge, who recorded 67 goals in 160 appearances for Liverpool, has walked away from Anfield as a Champions League winner.