Rights Issues are executed within a given period that begins with the announcement of the issue and ends with the distribution of the shares to the eligible accounts (info on it can be found in the prospectus of the event. You will be able to find it on the company issuers website or on the page of the company, within the website of its official exchange).
If you are eligible and you have subscribed to the rights issue of a certain company throughout the subscription period, all you have to do is wait until the official distribution of the newly issued shares has been completed, in order to receive it in your account. This period can range from 10 days, up to a month, depending on the way that the issue is structured.
You can find this in the message that you receive upon the announcement of the rights issue.