Liverpool have released the forward this week after seven years of service at Anfield.
A number of Premier League clubs will no doubt be chasing Sturridge, who has suffered a number of injury-related setbacks in recent seasons.
And talkSPORT pundit Morrison feels that Arsenal would be an ideal destination for the 29-year-old this summer.
“I believe Daniel Sturridge is still good enough to play in the Premier League. He’s got great technical ability,” he said.
“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.”
Arsenal may not feel like they need a new striker at present.
But the Gunners are trying their best to hold on to Pierre-Emerick Aubameyang after his fine season in front of goal.
Reports suggest the Arsenal forward may soon be on his way out of north London due to interest from China.
Aubameyang topped the Premier League Golden Boot chart, along with Mohamed Salah and Sadio Mane, after netting 22 times in the competition this season.
But Arsenal’s failure to qualify for the Champions League once again means the forward could be susceptible from offers elsewhere.
According to the Times, two Chinese clubs are ready to make fresh attempts to land the 29-year-old in the coming weeks.
The publication states both Guangzhou Evergrande and Shanghai SIPG, who have already tried to sign Aubameyang in recent years, are keen to offer the forward £300,000-a-week in the hope of persuading him to leave Europe for the first time in his career.