Video - Anderson/Jadeja Incident Behind Us - Cook
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Both players were cleared of breaching the ICC Code of Conduct, which means that Anderson is free to play in the match at his home ground.
Had he been found gulty of a breach of Level 3 of the Code of Conduct, he could have been banned for the game.
However, Cook is pleased that Anderson is available - particularly after taking seven wickets to help England level the series with a 266-run win at The Ageas Bowl.
"It's obviously been a really good couple of days off the field for us, in terms of making sure that Jimmy (Anderson) is available to play and the whole incident is behind us and we can concentrate on playing cricket," Cook said at his pre-match press conference.
"We don't have to talk about it any more - well, hopefully not too much more, and we can get on with playing cricket."
Anderson can now look forward to a Test at his home ground, and Cook joked that this had lightened the fast bowler's mood a little.
"Yeah, he's a little bit less grumpy, which is nice for Jimmy, but actually in those last two Tests he's bowled, with this hanging over him, he's bowled really well, so I don't think it's really affected his performance on the field at all, so it's great that it's now behind him, he gets to play in a home Test match.
"I know it's very special for every guy to play in a home Test match. Unfortunately, they don't seem to play Test cricket at Chelmsford, so I don't think I'll ever experience that, but for him to be playing here, it'll mean a lot to him.
"I think that's what his biggest concern was, that he wouldn't get to play at Old Trafford."
With Anderson available to him, a recall to the side for Steven Finn, drafted in to the squad last week, would now appear unlikely, but Cook said it was good to have the Middlesex man back among the group.
"It's just great for English cricket that Finny (Steven Finn) is getting back to his best, you know," he said.
"To add him into the pile of fast bowlers can only be a good thing - adding more competition... and again, he's very different to what we've got.
"He's a tall bowler and when he gets it right, he bowls near 90 miles an hour (145 kilometres per hour).
"So that's a great thing to add to the pot and I'm pleased for him that he's managed to... you know, it's obviously been a very tough six months for him personally, but to fight through it and I think he will be a stronger bloke for it, and it'll bode well for his cricket."
Videos courtesy of SNTV
© Cricket World 2014
9th-13th July: 1st Test, Trent Bridge, NottinghamIndia 457 & 391-9 dec. (Binny 78) drew with
England 496 (Root 154no, Anderson 81)
17th-21st July: 2nd Test, Lord's, LondonIndia 295 & 342 (Vijay 95, Jadeja 68) beat
England 319 & 223 (Sharma 7-74) by 95 runs
27th-31st July: 3rd Test, The Ageas Bowl, SouthamptonEngland 569-7 dec. & 205-4 dec. beat
India 330 & 178 (Ali 6-67) by 266 runs
7th-11th August: 4th Test, Emirates Old Trafford, ManchesterEngland 367 (Root 77, Buttler 70) beat
India 152 & 166 by an innings & 54 runs
15th-19th August: 5th Test, The Kia Oval, LondonEngland 486 (Root 149no, Cook 79) beat
India 148 & 94 by an innings & 244 runs
25th August: 1st ODI, BristolMatch abandoned without a ball being bowled due to rain
27th August: 2nd ODI, SWALEC Stadium, CardiffIndia 304-6 (Raina 100, Woakes 4-52) beat
England 161 (Jadeja 4-28) by 133 runs (D/L)
30th August: 3rd ODI, Trent Bridge, NottinghamIndia 228-4 (Rayudu 64no) beat
England 227 (Cook 44) by six wickets
2nd September: 4th ODI, Edgbaston, BirminghamIndia 212-1 (Rahane 106, Dhawan 97no) beat
England 206 (Moeen Ali 67) by nine wickets
5th September: 5th ODI, Headingley, LeedsEngland 294-7 (Root 113, Buttler 49) beat
India 253 (Jadeja 87) by 41 runs
7th September: T20I, Edgbaston, BirminghamEngland 180-7 (Morgan 71, Hales 40)
India 177-5 (Kohli 66) by three runs