I am assuming this is not a 2003 Saab 93 convertible. I don't have any specific details about that particular model.
All other 2003 Saab 93s take a BCI group size 48[1] battery. This battery is available (in the USA) almost anywhere that sells car batteries, even if they don't list the Saab 93 in their application guide. A BCI group 47 battery, which is smaller, can also be used if a group 48 battery is not available.
To replace the battery:
1. remove the battery cover (two plastic screw clips)
2. make sure the key is out of the ignition switch,
3. disconnect the negative terminal with a wrench
4. disconnect the positive terminal with a wrench
5. use a socket and an extension to remove the battery hold-down on the edge of the battery
6. remove the battery from the tray
To install the battery:
1. put the battery in the tray
2. use a socket and an extension to tighten the hold-down on the edge of the battery (if you use a group 47 battery you will need to install the hold-down bolt in a different hole than it was in with the original group 48 size battery).
3. connect the positive terminal with a wrench. (It may be necessary to trim the edge of the battery tray with a file due to the fact that many group 48/47 batteries are a little shorter than the original battery. If the terminal hits the edge of the battery tray this is why)
4. connect the negative terminal with a wrench.
5. replace the battery cover.
[1]In the USA car battery sizes are specified as group sizes. In Europe DIN sizes are used. I have no idea what the equivalent DIN sizes for the Saab battery are, but in Europe I suspect there will be no problem finding on that fits.
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There is a tiny screw by the attachment to the key ring. Walmart had a small enough screwdriver to open it and slide out the battery and replace it with a new one.
2.0t
125
You hold down the Saab logo and pull the end of the key fob so the actual key comes out. Then inside there is a small rectangle, you use that key you just pulled out to use as a lever so the two pieces of the key come apart, it is a really easy task, you will see the battery and you will know exactly which kind of battery to buy.
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Call a locksmith.
That's an usual fault but suspect CIM
2 is positive