Don't really know what Deku could do here. Izuru skillstomps badly. Iirc Izuru was voted in one of the top 10 most skilled video game characters in this wiki. One of his talents alone (Sakura Ogami, the ultimate martial artist) gives him knowledge and all martial arts of the world. Sakura also defeated her father (a martial arts master) at just 14 years old and continue training after that. Another one of his talents (Mukuro ikusaba, the ultimate soldier) became part of fenrir, a military group. While a member of fenrir she undertook numerous missions but never got wounded. Izuru has plenty of other combat related talents (Boxer, Judo master, Marksman, Serial killer, Street fighter, Spy, Wrestler, etc) And his talents dwarves all of theirs.
Infinite analyst is a far better prediction ability than anything Deku has, as it actually allows Junko (and by extension Izuru) to completely predict events years down the line with a very small margin of error (Said margin of error only happened because of supernatural intervention). This ability allows Junko to effortlessly dodge Mukuro Ikusaba's attacks despite the fact that she has no training whatsoever.
The most damning ability he has is ultimate luck which Deku has no answer for. With this ability, Nagito has survived things he otherwise couldn't and caused events that aren't even logical. Like causing a landslide because he kicked a single pebble. Izuru's luck far surpasses Nagito's and when they fought, just as Nagito was about to shoot him with a gun, the gun jammed. Basically, if anything bad could happen to Deku at all, it will, even if it isn't logical just to give Izuru the win.
He also has so many other options as well. Paralysis via ultimate singer, Power mimicry via ultimate imposter, Danmaku via ultimate serial killer, Mind and madness manipulation via ultimate despair, and he would instantly know the best times to use them because of his intelligence.