"I will run through" is correct and can be used in written English.
You can use it when you want to indicate that you plan to quickly and efficiently go over or complete something. For example, "I will run through the points we discussed in the meeting."
"I'm one of those guys, give me a hug and I'll run through a brick wall for you," Swisher said.
Traditionally we update at Easter, and I'll run through them in the order in which we selected them as 2015 dawned.
I'll run through it: you set up a committee under the auspices of Lord Bew to look into assessment and accountability.
I tweeted as much yesterday and received demands for evidence in response, so I'll run through the numbers.In fact, there was a time at which Mr Obama, by Mr Romney's reckoning, was an even more effective job destroyer*.
So the basic structure of the argument that you read and I'll run through it in more detail in a minute the basic structure of the argument that you read in the context of Nozick's discussion of Locke runs as follows.
25th over: England 64-1 (led by 38 on first innings; Strauss 32, Bell 22) Bell flicks Clark to leg for a single, and if England lose this game I'll run through Oxford Street tomorrow wearing nothing but a Relentless glow.
I'll run through them in a second, but first let me tell you why I think market choppiness is going to persist for a while.
One of our guests--and my wife seems to try to set a record each year for the number of people she can invite--is going to turn to me and say, "so, Paul, what books are you working on?" I'll run through the entrepreneurship books as quickly as I can; the person I am talking to will listen politely, and then they'll say something like this.
