Patient is an adjective that means to be amenable to waiting or accepting of delays. It is accompanied with peacefulness and a calm nature.
Patience is the noun form of the adjective patient.
One can be an adjective and have a noun.
In all uses, either form is correct as long as the corresponding verb agrees. The verbs be and have can be conjugated through all tenses.
However, it should be noted that be patient is used ten times more often than have patience. This was not always the case, according to Google’s Ngram Viewer. Have patience was the more preferred phrase until around 1840 when be patient eclipsed it. Have patience has been on the decline ever since. However, this is only for the specific phrase have patience and does not necessarily reflect usage for variations such as have the patience for, etc.
But Snider has zero patience for a rebuild of any kind and doesn’t feel like the club needs to be patient to build a winner. [CBS Sports]
Jason Williams, a nutrition coach at Maryland Athletic Club in Harbor East, also tells his clients to have patience and look at it as a lifestyle change rather than a diet. [The Baltimore Sun]
If you have the patience to trawl through The Telegraph]ieldy and badly photographed website, there are some satisfying bargains to be had in the designer blouse department (all previous season, but with something that’s based on an old idea, who cares?). [