**EDIT 6/22/15 - In case current cloud users are not aware, authorize.net is now available as a payment acquirer and payment option within the system. This solution uses the virtual terminal or hosted checkout page of Authorize.net and is not a AIM/SIM/CIM integration method - in other words, it's similar to a Paypal checkout page. If you're wanting a direct or full integration, you'll still not be able to accomplish this without custom development (for SaaS) or one of the modules or solutions mentioned below**
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HI Victor - There are a couple ways to answer this question. If you are using a self-hosted version, then you can have a module custom developed or extended into your system. There are several Github and other python builds that have a great start to laying out the SOAP/XML/API components if you want to have bi-directional integration into your authorize.net account.
One here: https://py-authorize.readthedocs.org/en/latest/index.html
Another here: https://github.com/jeffschenck/authorizesauce
If you do not need or want to do an Advanced Integration then you have the option of using the Direct Post method. You can add this via the 'Payment Acquirers' module in settings and Authorize.net will essentially function like Paypal checkout where a Sales Order payment will process off-property on an authorize.net virtual terminal page/checkout page.
The major drawback here can be for recurring transactions and transaction detail updates. If you are not technical or do not have coding/development staff or budget, then you'll be limited on implementation - currently Authorize.net has no native support in the same way Paypal does, which is pretty surprising. Hopefully this helps!
I get errors on Odoo 9.0, but I can't find a way to capture payment on Odoo 10 & 11 -- anyone else having any luck?