Ings has been a key player for promoted outfit Burnley so far this season and is a big hope in their quest for Premier League safety.
The 22-year-old has scored six goals and created 19 chances in 18 Premier League appearances, while having a pass accuracy of 74% and a shot accuracy of 38%.
Redknapp is impressed with Ings and backs him to succeed at a bigger club in the Premier League.
“He is a fantastic young player and could be the difference between Burnley staying up or going down,” the 41-year-old wrote in The Daily Mail. "He is a quality striker and, Chelsea or Manchester City apart, he could improve any side in this League.
"He has the work-rate, technique and the temperament to became a top player, and he took his goal against QPR so well.
“With all respect to Burnley, he is destined for bigger things. The big question is when?”
Burnley are currently a point and a place above the relegation zone and need Ings for the remainder of the campaign to ascertain top-flight English football for one more season.
Although the youngster has not scored many goals, he remains a potent threat upfront and one who can take his chances.
A big offer could make it tricky for Burnley. It could be be tempting to cash in on the Englishman, but they will need to find a suitable replacement.
And that will not be easy in the January transfer window.
The best thing for Burnley would be to keep hold of Ings and then let him go in the summer. Although Ings’s presence does not guarantee them Premier League safety, he does provide them with some hope.