McKenna made five alterations from his side’s 4-1 win at Swansea City prior to the international break, with the Northern Irishman changing his entire front four.
Cedric Kipre, Sindre Walle Egeli, Akpom, Philogene and Ivan Azon all came in for Jacob Greaves, Kasey McAteer, Marcelino Nunez, Jack Clarke and George Hirst.
Ex-Ipswich frontman Kieffer Moore and Issa Kabore missed out through injury for Wrexham as Nathan Broadhead – who left Portman Road to join the Welsh side for a club record fee in the summer – dropped to the bench.
Moore’s absence paved the way for Sam Smith to make his first league start of the season, as James McClean and Josh Windass also started for the visitors.
The Tractor Boys started on the front foot and saw plenty of the ball from the outset, with Walle Egeli, Dara O’Shea and Leif Davis having efforts.
Despite Wrexham’s inability to carry an attacking threat, boss Phil Parkinson will have been pleased with his side’s defensive solidity as the visitors kept McKenna’s troops at bay.
Philogene was denied by Okonkwo either side of half-time as the winger looked to add to his tally of six Championship goals this season – with each of those strikes coming at home.
Having helped to shut out Portsmouth and Charlton Athletic in his side’s past two matches, Okonkwo produced his finest save of the match six minutes into the second half as he bravely thwarted Akpom.
Walle Egeli then flashed an effort wide from just outside the 18-yard box as Ipswich continued to push for an opener.
Matty James and Lewis O’Brien replaced Ben Sheaf and George Thomason shortly after the hour mark as Wrexham looked to gain some kind of control in the contest.
The home side responded by sending on Clarke and Hirst for Philogene and Azon, as Windass was then replaced by Wales international Broadhead – who received a warm reception from the home faithful.
Walle Egeli looked to capitalise on George Dobson’s sloppy pass 11 minutes from time, although his tame effort was easily dealt with by Okonkwo.
Ipswich had one final chance to net a winner as the ball fell to McAteer from a free-kick, although the substitute failed to beat Okonkwo as Wrexham held on for another valuable point – with Ipswich missing the chance to move into the top six.