"litigate against" is correct and usable in written English.
It is used to express the act of initiating legal action against another party. For example, "The company decided to litigate against the other firm for breach of contract."
Your expensive law firm based in Paris, Madrid, or Milan will try to find a correspondent in Silicon Valley, only to be confronted with polite rebuttals: For years now, Google has been parceling out multiple pieces of litigation among local law firms simply to make them unable to litigate against it.
Individual cases are too expensive to litigate against a determined adversary like Merck.
He scrambled to put Inc. in a position to litigate against such a sale and to develop an alternative transaction.
Haber explained that the imbalance in financial resources between individual patent holders (inventors) and large manufacturers prevents those inventors from credibly threatening to litigate against infringement.
It is not an "advantage" to be forced to litigate against an aggressive publishing industry to protect constitutional and statutory rights.
Last year, BATPro members were assisting LAS-ELC to litigate against a fishing company that enslaved workers from Indonesia who finally escaped the ship in San Francisco.
One reason why ADF has earned the enmity of SPLC (and many others on the Left) is the success it has had in litigating against overreaching government policies that infringe upon Americans' constitutional rights.
Gun Control after Heller: Litigating Against Regulation.
Certainly being a public-interest litigator and litigating against government, primarily, for all of my legal career, would seem to be fringe, but actually I've been blessed with clients who were really constructive clients.
"We won't be shy about litigating against government," Mr. Siegel said.
Despite his resources and history litigating against BP, Buzbee became increasingly doubtful about his chances of making the steering committee.
