If you have already bought and closed on this property and own it then the tenant can tell you to go " pound sand ".

You can have your agent ask for credits towards anything but if I'm the seller and your asking credit for a fully functional AC unit...I'm probably telling you to pound bricks.  

It brushes up with some rough areas but given its strong Italian Heritage, the town does a good job of keeping the unwanted out. 

If the tenant has good credit you can file a FIFA to ruin it with the judgement amount.If the tenant has nothing to lose they will tell you to pound sand or just file BK and wipe out your judgement.

As one of the other peope posted, nothing beats pounding the pavement and getting out there.

I would politely tell  them no and if that is not good enough tell them to pound salt (politely if possible).

I'm sure you have a lawn mower.All you need to do is pound the pavement, send out flyers in the mail and spend couple hundered on an ad in the newspaper for 3 or 4 weeks.I know it sounds crazy but you can probably charge $30-50 a lawn, thats the going rate up my way where the lawns are fairly big.

Sounds like your agent is playing a risky game and if I were the sellers agent, I would be inclined to tell you to pound sand just on general principle.

Yes there are 3 ways you can do business there.Take the listing and market the heck out of it and spend thousands and hope you can work the seller down over time to close.Out of so many listings you take some will come in line and others will tell you to pound sand and take off the market.If you track your numbers and the large transaction closings still give you an excellent profit margin than it will work doing it this way.

They don't need to get caught up on repairsNo need to fix things upNo need to have the house ready for strangers coming through to look at any timeYou can help suggest movers/ packing/ yard sale facilitatorsYou can do the final clean-up and disposal of unwanted items.Good luck.