<div style="display: inline-block;" @click.stop>
<el-dropdown size="mini" split-button type="primary">
修改状态
<el-dropdown-menu slot="dropdown">
<el-dropdown-item>报价中</el-dropdown-item>
<el-dropdown-item>待上门</el-dropdown-item>
<el-dropdown-item>进行中</el-dropdown-item>
<el-dropdown-item>待验收</el-dropdown-item>
<el-dropdown-item>完成</el-dropdown-item>
<el-dropdown-item>退款</el-dropdown-item>
</el-dropdown-menu>
</el-dropdown>
</div>
外層にdivを配置し、それに@ click.stopを追加します