Everyone wants facts so lets break down the facts.
Edo Itachi:
The ultimate Genjutsu Master.
Has Susanoo (which according to fans, cannot be defeated)
Tsuka Blade which is a sealing weapon
Yata Mirror, relects (everything according to fans though there is no data supporting this)
Highly intelligent
Low stamina(when alive) no longer an issue as an edo
Minato: [ /B]
Has Flying Thunder God (according to fans is untouchable no data to back that up)
Has S/T techs
A Master at sealing including some Uzumaki seals.
Base speed is high
Stamina average
Has half of the Kyubi's Chakra and can go Kyubi Chakra Mode
Highly intelligent
Now let's compare the 2 exceptional Shinobi:
Itachi's Tukuyomi(ultimate genjutsu) If Minato gets caught in this then yes. Game Over IF he gets caugt!
Itachi's Susanoo: Yes it is OP, but not invincible, the back is exposed and Minato moves very fast. A rasengan after a S/T teleport would end all that. Itachi is done for
Points so far:
Itachi: 1
Minato:1
Amateratsu: if Ay can dodge it, You know Minato can as well.
Yata Mirror: Does not cover a 360 degree angle so only frontal attacks are negated Minato,again can bypass the mirror with a well placed S/T jutsu attack to the side or rear itachi would be done for.
Point so far:
Itach:1
Minato:2
Tsuka Blade: can seal away edo Minato IF he gets caught by it, but from what I've observed you need to be stationary for it to work. Incapacitating Minato 1st would be the only way this will work
Points:
Itachi:2
Minato:2
Minato's Flying Thunder God: If tobirama could catch Izuna while back to back with Madara who had EMS active and wasn't able to follow it. What makes you think Itachi's MS could follow Minato's FTG? A well placed attack backed with FLG and Itachi is done for...again!
Points:
Itachi:2
Minato:3
Minato's Sealing Techs: I he manages to place one on say itachi's back, then Susanoo won't matter because Minato can just teleport to the seal he place on Itachi and end it there.
Points:
Itachi: 2
Minato: 4
Izanami(did I spell that right) catch Minato when he lets his gaurd down and thinks he is dead, Then strike.
Points:
Itachi:3
Minato:4
Iganami: I think this requires 2 Sharingan usuers does it not? If not then catching Minato in this and it's game over for Minato.
Points:
Itachi:4
Minato:4
KCM Minato: everything is now backed up with Kyubi Chakra, if even a slight advantage then the above techs are more than likely to make contact with Itachi and game over for Itachi.
Final Score:
Itachi:4
Minato:5
Looks like Minato takes this(though barely)
I think I've exhausted pretty much all of their mentioned abilities.