Ince added: "Thomas is like any other player when he walks into the training ground or onto the pitch.
"If he does something wrong, he'll be told in no uncertain terms. If he does something well, he'll get a pat on the back like any other player would. When we leave the training ground, that's when he becomes my son.
"Thomas would expect that. I've worked with him before at Notts County and sometimes I'm harder on Thomas than I would be with the rest of the lads.
Thomas found out about father's appointment in a text from his mother
"I'm sure at the moment that he's dreading me being here, but once we get going he'll be fine."
The ex-Manchester United, Inter Milan and Liverpool midfielder, 45, has been out of football since leaving County in April 2011.
He replaced Michael Appleton, who left Blackpool for Lancashire neighbours Blackburn Rovers in January, and takes over with the club 14th in the table, six points above the relegation zone and 10 points from a play-off spot.
Meanwhile, Thomas has revealed that news of his father's imminent appointment came from another family member.
He said: "I got a text from my mum saying that my dad might be getting the Blackpool job.
"It's a great opportunity for him to come to a fantastic club with great expectations and a great squad. I'm pleased for him and hopefully he can do well."
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