The San Francisco–based company has received expressions of interest from several tech and media companies, including Google and Salesforce.com, sources said.
"You know that I've felt that this should happen," CNBC's Cramer said on "Squawk on the Street."
"... And it should be Salesforce. It's the way to be able to get a seamless customer relations management among big customers who want to be in touch 24/7, 360. ... Be in touch with people," he said.
Cramer added that one reason why Twitter would be beneficial to a company like Salesforce is that the social media platform's data on its users could help with strategically reaching consumers.
Twitter's board is said to be largely desirous of a deal, according to people close to the situation, but no sale is imminent.
Twitter shares were up 21 percent on Friday. (Click here for the latest price.)
Twitter's stock is down more than 2 percent this year to date.
— CNBC's David Faber and Anita Balakrishnan contributed to this report.