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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
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