If Bolton are happy to sell TBH for the right price before the deadline, it's surely in their interest to allow him to sit the Arsenal game out. If he had played and got injured, any potential deal would be off.
As CWP rightly pointed out: we are a club in debt. The debt is approx. ??30m and the sale of TBH could well cover 7% of that debt: or put another way, this years interest payment on that debt. All in alll, good business for a player costing us ??150,000.