'The Ukraine Master', aged 35, has a record of 32-1 and was undefeated until this past April when he was stopped by American Paul Malignaggi, who is also keen to fight Hatton again.
Former WBA welterweight champion Senchenko has almost exclusively boxed in his native Ukraine, fighting twice in Russia and once in Monte Carlo.
Hatton announced his return to the ring two weeks ago, having retired in 2011 with his last fight an emphatic knockout defeat to Manny Pacquiao in 2009.
Hatton said: “I can’t wait to get in the ring now and I’m sure that Vyacheslav Senchenko will give me a good fight. It’s one that I am confident I can win though.
“Senchenko lost the last time he fought to Paulie Malignaggi but he has got a good pedigree. I’m in great shape, I’m feeling good and I know I can put on a performance for all those watching.
“I’m a boxer who loves boxing and loves to box. I’m driven by a hunger to box and look forward to getting back in the ring on the 24th.”
The undercard is highlighted by Scott Quigg and Rendall Munroe's second attempt to battle over the WBA interim super bantamweight title.
Their first encounter on June 16 was declared a technical draw when Munroe suffered a heavy cut over his right eye from an accidental clash of heads.
Also on the Manchester Arena card, Gary Buckland fights Stephen Foster Jnr for the British super featherweight title and Martin Murray, Adam Etches, James Dickens, Scott Jenkins and Ryan Burnett will take on opponents to be announced over the coming weeks.