Wells Fargo credit card applications are available online at WellsFargo.com, as of 2015. You can also apply for a Wells Fargo credit card at a local branch office. Wells Fargo provides round-the-clock customer service, including on holidays, via its toll-free number for application assistance, according to Wells Fargo.
After applying online, you can access the status of your application, explains Wells Fargo. You may have an answer within minutes of submitting the application, or you may have to wait as much as five to seven days for confirmation. Local branch representatives can help you pick from a variety of credit cards that best meet your spending needs.