Lukaku moved to Everton last week for £28 million.
Kenwright told Sky Sports: "We had a few bob to spend this summer. Chelsea were terrific, his family were terrific and Rom was our number one choice.
"The deal had to go on hold for four weeks because he was off to the World Cup.
"But it was mega when we signed him because most Evertonians will tell you that our turnaround in our season was that extraordinary day at the end of the transfer window last August when we signed Rom, Gareth Barry, James McCarthy all in the space of about 40 minutes at the end of the window.
"And to get Rom full-time is great. All the lads wanted him back too and they were texting him.
"It's more than a signing, it's a statement. We've signed Gareth Barry this year too. We do it for our fans and why else would you be in football for."
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