His father is confident that Bendtner will find a new home by the start of next season.
However, Arsenal have slightly overpriced him at £12 million, which you can't expect potential buyers to match for a striker who has only made three league starts in the just concluded season.
There were reports that Sporting Lisbon was ready to offer Bendtner an escape route, but now the Portuguese club has dismissed those rumours.
That comes as a huge blow to Bendtner's hopes of exiting Arsenal in search of regular playing time.
At the moment, he looks set to depart Arsenal for the Bundesliga, with Bayern Munich and current champions Borussia Dortmund thought to be interested.
A move to the Bundesliga would resurrect the stuttering career of the big Dane, as he's better suited to the Bundesliga than the Premier League.
There's also a possibility of Bendtner staying at Arsenal if his potential suitors fail to mass Arsenal's valuation.
How do you rate Bendtner as a player?
That would be the last thing Bendtner wants at this stage, having declared his frustration at the lack of opportunities.
To be fair to Bendtner, he was shunted out wide to the wings whenever Arsene Wenger gave him an opportunity.
He's an out and out forward with good aerial abilities. He's technically poor and lacks the pace to play on the flanks.
I am in no position to comment on the managerial decisions, but I leave it to you to decide whether Wenger's decision to play him on the flanks was a good one, considering Bendtner doesn't possess the attributes to play there in the first place.
That said, Wenger's system makes use of only one striker, so it's that much more difficult for Wenger to give Bendtner a chance in his favoured position ahead of the clinical Robin van Persie.
Bendtner is a decent player, but I have my own doubts about whether his attitude and playing style are acceptable at a club like Arsenal.
He's the battering ram type of striker who could do an excellent job for a mid-table side in the Premiership, where physicality matters more than technique.
The self-proclaimed best striker certainly talks the talk, but when it comes to translating words into performances, he has left a lot to be desired.
His loudmouthed antics hardly help his cause, so he must let his football do the talking in future.
Despite disappointing the fans and manager, his scoring record is impressive.
Since joining from FC Copenhagen in 2004, he has amassed 22 League goals for Arsenal in 40 starts so far and 45 goals in 79 starts in all competition.
The problem with Bendtner is he already considers himself to be one of the best. Instead, he needs to knuckle down and work on his weaknesses.
He needs to work on his first touch, which is awfully woeful and nowhere near the level of Arsenal.
As much as you can criticize the player, the manager also must share some responsibility.
Wenger's man-management skills are praiseworthy. However, nothing is perfect, and names like Havard Nordtveit, Fran Merida and now Bendtner blot his supreme track record.
I'm sure that Bendtner will score loads of goals in his career, but not at Arsenal. Sadly, he's not of Arsenal's level, although he will find success elsewhere.
In his time at Arsenal, he has incurred the wrath of many fans due to his incredible ability to miss the target from close range when it's easier to score than miss.
Had he been playing in Bundesliga or Serie A, the very same fans would have eulogised him.
His case reminds me of Mario Gomez, who was extremely lethal at Stuttgart. Bayern fans lauded him, but after the Bavarian giants signed him, he failed to enthrall them, and subsequently plaudits turned into jeering.
But now he has won over the fans, having improved tremendously over the last year or so.
That sort of fairy-tale ending is not expected in the case of Bendtner, as the manager seems to have run out of patience with him.
It remains to be seen whether any club is willing to offer him a chance to revive his career.
Surely his pride wouldn't allow him to stay at Arsenal, having declared his intention to quit.
If no one bids for him, it would severely dent his ego, as you could imagine. I wouldn't be surprised if we saw him in the Bundesliga next season.