The attacking midfielder is one of the most highly-rated and best-paid players on the continent.
Abbott has made the addition of an attacking midfielder and left winger his priority during the closed season.
The attacking midfielder follows in the footsteps of South Korean star Park Ji-Sung, who spent seven hugely successful years at the club.
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"I'm definitely a good player - a defensive or attacking midfielder, " the Olympic 100m and 200m champion told BBC 5 live's Sportweek programme.
Abbott has warned supporters not to expect more than two or three new signings over the summer, with a left winger and an attacking midfielder his transfer priorities.
Morten Olsen, the Danish boss, put out a lineup that included a center forward, two wingers who remained high up the pitch and an attacking midfielder and ended up with 47% of the possession.
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Eriksson made one alteration from the side which beat Sunderland, with Vassell replacing Sun Jihai and attacking midfielder Elano shifting to right-back, a position he has previously filled for Brazil and former club Santos.
That said, their new manager, Eddie May, will bring his own approach and ideas to the side and I like the look of the young attacking midfielder he's brought in on loan from Burnley, Alex McDonald.
Getting the most out of a Carroll-type centerforward requires the right supporting cast, including wide players who can ensure a steady supply of service and a second striker or attacking midfielder who can use the space the big man creates.
His career has so far fallen short of the initial expectations, however, as the attacking midfielder has bounced among various professional clubs in the U.S. and Europe in recent years and seen only occasional playing time with the U.S. national team.
The attacking midfielder had maintained hopes of playing in London until Tuesday, when he managed an hour of training in his first full session since April until an adverse reaction curtailed his dream -- and so perhaps his chances of repairing his damaged relationship with some fans.
Thomas Helveg's development as an indispensable attacking right midfielder or fullback for the Danish team has been unusual for two reasons.
Whether it was an enforced change because of injury or a tactical one, Celtic manager Neil Lennon had started the second half with a more attacking formation, with midfielder Ki Sung-Yeong coming on for Mulgrew and Joe Ledley moving back to left-back.
Barcelona will be boosted for Tuesday's Champions League trip to Paris Saint-Germain by the return to fitness of key midfielder Xavi and attacking fullback Jordi Alba.
The former West Ham midfielder has scored 20 or more goals in his last five seasons at Chelsea, an incredible achievement for a central midfielder - albeit an attacking one.
Though if he finds that South Africa have good attacking full-backs, he is likely to pull a central midfielder very deep into a holding role, as he did with Mauro Silva in 1994.
Impressive teenage midfielder Jay Spearing was involved in their two other best attacking moves of the half, firstly forcing keeper Krul into a low save with a 25-yard shot and then later provided a superb pin-point cross from the right which Lucas headed straight at the United keeper from 10 yards out.
Midfielder Barry Williams was at the heart of most of the visitors' attacking play but earned a caution for an ugly lunge on Chris Lane.
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